Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. TRUE OR FALSE? 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee 2.39 Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. 98 \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. The number of accidents per year at an intersection. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati Variable X consists of number of automobile accidents which can be counted. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. Find the value th It is important to note that this variable was not specified to an hour, a minute, etc. The number of injuries occurring to children at a school. Blanca weighs x pounds. Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. This site is using cookies under cookie policy . Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. 4 The number of no-shows for every \(100\) reservations made with a commercial airline. polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, We have eliminated \(490\) persons from our search while performing only \(60\) tests.). D. 3.4, Electricity bills in a certain city have mean $ 106.27 . Often, continuous random variables represent measured data, such as heights, weights, and temperatures. The number of students who actually register for classes at a university next semester. What is the product of 1.7 and 0.2? TRUE OR FALSE. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) what pairs of lines are parallel? Circle the correct answer. N: the number of eggs laid each month by a hen. The number of cups of coffee sold in a cafeteria during lunch. Discrete 2, Q:Let X be a discrete random variable with moment generating function given by: The number of boys in a randomly selected three-child family. Sample size (n) = Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Explore: Get a piece of paper as a model of plane. a = 0.05.) First week only $4.99! Let \(X\) denote the number of boys in a randomly selected three-child family. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. Let \(X\) denote the number of times a fair coin lands heads in three tosses. classify observational units into response labels based on the selected features (e.g., [16]). 1) Number of customers served by a coffee shop per hour. 4.83 does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. m(HNO3) = 12,6 The variable can only take on whole number values (fractions of students do not exist). Find the probability that the proofreader will miss at least one of them. You can specify conditions of storing and accessing cookies in your browser. A discrete variable is one whose value can be determined by counting. Find the average number of cracked or broken eggs in one dozen cartons. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 5 The temperature of a cup of coffee served at a restaurant. 2. m(HNO3) = 12,6 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. If the ball does not land on an even numbered slot, he loses his dollar. The speed of a car 5. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? If the correlation coefficient is -0.80, below-average values of the dependent (y). Get access to thousands of practice questions and explanations! Construct the probability distribution for the number \(X\) of defective units in such a sample. Popl. n=12 Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Kelly Hawkins has taught high school math for over 5 years. the number of defective computers produced by a manufacturer. 4. Let X be a discrete random variable with the following PMF. Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. 1) Classify the following random variable according to whether it is discrete or continuous. 3 Recalculate according to your conditions! If the ball does not land on red he loses his dollar. If each die in a pair is loaded so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum. Classify the following random variable according to whether it is discrete or continuous. In a certain board game a player's turn begins with three rolls of a pair of dice. no: the sum of the probabilities exceeds \(1\), no: the sum of the probabilities is less than \(1\), \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. The amount of liquid in a \(12\)-ounce can of soft drink. Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. The number of arrivals at an emergency room between midnight and \(6:00\; a.m\). 4 80 Classify the following random variables as discrete or continuous. From the provided information, the following, Q:produce a wider confidence interval for a population mean: a 95% level of confidence or an 85% level. End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. Shylock enters a local branch bank at \(4:30\; p.m\). patients if she wants to, A:no. 0 .10 Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. 0.34 54 X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. Null hypothesis: H0:, Q:7. A discrete variable is a variable whose value is obtained by counting. The probability that he will, Q:Calculate r, the correlation coefficient ________________ The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. Find the average number of appeals in such mailings that are made to students who already give blood. The number of winners in lotto for each day 7. Find the probability that it lands heads up more times than it lands tails up. 0.77 continuous. std., Q:1. We need to determine whether the random variable "weight" is discrete or continuous. The % change is computed in terms of % increase and % decrease. : The function f(x) = -x^4 + 3 does not have an absolute maximum. Questions 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. The number of patient's arrivals per hour at a medical clinic 5. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. All other trademarks and copyrights are the property of their respective owners. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). The number of accidents per year at an intersection. Q:What is the standard deviation of this distribution? Independent variable (x) = no. Do not write any units. 1. We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. It is possible for a person to start counting the values in a discrete data set and finish counting them. Let \(X\) denote the net gain to the bettor on one play of the game. a. Why? begins., A:Given data: Find the probability of rolling doubles all three times. What assumptions can you make out of this activity? Identify the set of possible values for each random variable. Find the probability that no more than ten days will be lost next summer. Grapefruit are sold by the dozen. 0 \(X\) is the number of voters in favor of proposed law in a sample \(1,200\) randomly selected voters drawn from the entire electorate of a country in which \(35\%\) of the voters favor the law. [Google Scholar . Borachio works in an automotive tire factory. Find the expected value to the company of a single policy if a person in this risk group has a \(99.62\%\) chance of surviving one year. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. \(X\) is a binomial random variable with the parameters shown. A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. Her sister weighs 12 pounds more. Circle the correct answer. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. The number of patrons arriving at a restaurant between \(5:00\; p.m\). The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. The difference between them can be best understood using examples. 3.65 Determine whether or not the random variable \(X\) is a binomial random variable. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. The number of phone calls received at a police station on a day b. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. Find the probability that \(X\) is two, three, or four. infinitely uncountable number of potential values, regularly. Discrete the pressure of water coming out of a fire hose. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. Find the expected number of skeins that contain knots. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. The number of bushels of apples per hectare this year. Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). Goneril buys ten skeins to crochet an afghan. Find the probability that Borachio will produce at most two blemished tires tomorrow. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Find the probability that exactly \(14\) of the students enrolled in the class write with their left hands. Thus, it is a discrete variable. Discrete Continuous Continuous Continuous The weight of the professional wrestler. In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is \(0.008\). Y : the length of time to play 18 holes of golf. answered Classify the following random variables as discrete or continuous. of companies = 200 An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). *Response times may vary by subject and question complexity. The number of accident-free days in one month at a factory. D = domestic flight. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). mean mpg of model Q car ( ) = 32 The number of pitches made by a starting pitcher in a major league baseball game. 0.34 , How many lines can you form? 0.08 c.M: the amount of milk produced yearly by a particular cow. Suppose the, A:given data answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project , of. Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. It is rejecting the standard. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. 2. The number of winners in lotto for each day 3. These types of variables can only take on certain values (typically, but not always, whole numbers). Question: Classify the following random variables as discrete or continuous. Investigators need to determine which of \(600\) adults have a medical condition that affects \(2\%\) of the adult population. 6 Example Discrete Variables: 1.9 91 A class of \(130\) students meets in a classroom with \(130\) individual desks, exactly \(14\) of which are constructed for people who write with their left hands. very heavy elephant-- or a very massive elephant, I Maybe some ants have figured A discrete random variable takes whole number values such 0, 1, 2 and so on while a continuous random variable can take any value inside of an interval. Given: What number of customers waiting in line does Shylock most often see the moment he enters? b. O True. A multiple choice exam has \(20\) questions; there are four choices for each question. P(D) = 0.80, P(I) = 0.20 the number of . P: the number of building permitsissued each month in a certain city. Tybalt receives in the mail an offer to enter a national sweepstakes. A:We have to determine which confidence level is wider. Mac n Cheese, A:Given that Two units in each shipment are selected at random and tested. A roulette wheel has \(38\) slots. The variable in the problem is the time length for any movie. M: the amount of milk produced yearly by a particular cow. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. average (x)=995 O False. College GPA A. (Round your answer to three, A:Given Information: 1.9 He makes four sales calls each day. The duration of the next outgoing telephone call from a business office. as described in the main body of the text. Will the owner have the cover installed? One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? 3 13. Seven thousand lottery tickets are sold for \(\$5\) each. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. B. A professional proofreader has a \(98\%\) chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). Variable P consists of number of buildings permit issued which can be counted. : The number \(X\) of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. The time needed to finish the test 4. Abstract. b.Y : the length of time to play 18 holes of golf. Classify the following random variables as discrete or continuous. The amount of sugar in a cup of coffee 6. Control group The weight of the professional wrestler. Find the probability that at least one of them will be able to speak English. An, A:For the given scenario, the null and alternative hypotheses are given as below: 1. View this solution and millions of others when you join today! Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. Determine the value \(C\) must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. no. What is the relationship between y and the weight of newborns each year in a hospital 3.) So, it is a continuous variable. It is not possible to finish counting the time lengths of all movies. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. Compute the probability indicated. Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will. m(Cu(NO3)2) = ? Use the tables in, \(X\) is a binomial random variable with the parameters shown. and \(6:00\; p.m\). Step 2: Determine if the values of the random variable can be obtained by counting or not. Find the probability that it lands heads up at most five times. a. 1) Number of customers served by a coffee shop per hour. There are about 140 million houses in the, A:Given information- of patients = 10 Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. Tuleau-Malot, C. Variable selection using random forests. Find the most likely number of skeins that contain knots. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. Find the probability that no days at all will be lost next summer. Let \(X\) denote the net gain to the bettor on one play of the game. Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). "Introductory Statistics" by Shafer and Zhang. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. A coin is bent so that the probability that it lands heads up is \(2/3\). Lett. Call Us: 1.800.883.9662. types of variables in statistics ppt. He needs to ask someone directions. 3.77 2.02 \(X\) is a binomial random variable with the parameters shown. A laboratory performs \(20\) such tests daily. Let \(X\) denote the number of patients on any given day who require a sedative. The number of clerical errors on a medical chart. M: the amount of milk produced yearly by a particular cow. What Is Plantar Fasciitis? A manufacturer receives a certain component from a supplier in shipments of \(100\) units. The random variable is then continuous. You can specify conditions of storing and accessing cookies in your browser. The sum of their weights is 330 pounds. A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. The number of heads in two tosses of a coin. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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