A:Given that The speed of the car 2. Can you think of a counter-example that may contradict your assumptions?. Total no. O False. Recalculate according to your conditions! We have eliminated \(490\) persons from our search while performing only \(60\) tests.). Your question is solved by a Subject Matter Expert. You can specify conditions of storing and accessing cookies in your browser. 91 0.1 TRUE OR FALSE. mean mpg of model Q car ( ) = 32 The distance a rental car rented on a daily rate is driven each day. One-third of all patients who undergo a non-invasive but unpleasant medical test require a sedative. Construct the probability distribution of \(X\). Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. These types of variables can only take on certain values (typically, but not always, whole numbers). We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Find the probability that the next litter will produce five to seven live pups. Get access to thousands of practice questions and explanations! Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. 3.65 65 The sum of their weights is 330 pounds. Borachio works in an automotive tire factory. 10 So, it is a discrete variable. 1. . 7. The time between customers entering a checkout lane at a retail store. We need to determine whether the random variable "length of hairs" is discrete or continuous. the number of defective computers produced by a manufacturer. The weight of the professional wrestler. : The function f(x) = -x^4 + 3 does not have an absolute maximum. So, it is a continuous variable. Classify the following random variables as discrete or continuous. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. Explore: Get a piece of paper as a model of plane. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. This site is using cookies under cookie policy . If the correlation coefficient is -0.80, below-average values of the dependent (y). Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. 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. n=12 The prizes and chances of winning are listed in the offer as: \(\$5\) million, one chance in \(65\) million; \(\$150,000\), one chance in \(6.5\) million; \(\$5,000\), one chance in \(650,000\); and \(\$1,000\), one chance in \(65,000\). Construct the probability distribution for the number \(X\) of defective units in such a sample. Legal. Classify the following random variables as discrete or continuous. 0.01, Q:A researcher plans to use a random sample of n=500 families to estimate the mean monthly family, A:Researcher plans to use N = 500 families 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 The number of coins that match when three coins are tossed at once. Suppose a shipment has \(5\) defective units. and the Discrete or Continuous Wavelet Transform (DWT/CWT). \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. What is the product of 1.7 and 0.2? Find the average number of appeals in such mailings that are made to students who already give blood. What number of customers waiting in line does Shylock most often see the moment he enters? Compute the probability indicated. 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. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). M: the amount of milk produced yearly by a particular cow. Find the probability that exactly \(14\) of the students enrolled in the class write with their left hands. Continuous Variable: A random variable whose amount can take on any value in a specified range. View this solution and millions of others when you join today! A student guesses the answer to every question. 4.83 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. Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). Find the average number of cracked or broken eggs in one dozen cartons. continuous. N: the number of eggs laid each month by a hen. N: the number of eggs laid each month by a hen. The number of boys in a randomly selected three-child family. The number of voters favoring a candidate 3. The number of patrons arriving at a restaurant between \(5:00\; p.m\). Variable Y consists of length of time which can't be counted but can be measured. Since this data can be obtained by counting, it is a discrete variable. Will the owner have the cover installed? First week only $4.99! 1) Classify the following random variable according to whether it is discrete or continuous. Find the probability that at least one of them will be able to speak English. 0 C. 0.19 Your friend Caroline helped you with the null, A:Given that, The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . Result: Continuous. Continuous Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Let \(X\) denote the number of the next \(20\) purchasers who do so. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. Classify the following random variable. The number of games in the next World Series (best of up to seven games). 3. A. High School GPA 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. D = domestic flight. A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) Using the cumulative probability distribution for \(X\) in 7.1: Large Sample Estimation of a Population Mean find the minimum number \(x_{min}\) of doses of the sedative that should be on hand at the start of the day so that there is a \(99\%\) chance that the laboratory will not run out. What assumptions can you make out of this activity? The amount of liquid in a \(12\)-ounce can of soft drink. Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. Classify the following random variables as discrete or continuous. patients if she wants to, A:no. Two fair dice are rolled at once. Round to two decimal places (for example: 42.81). Lett. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. Pretest b) Find the equation of the, A:Dependent variable (y) = Final grade of the student In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. discrete. 0.08 72 The average weight of newborn babies born in a particular county one month. (Enter != for as. The estimated, A:Given data: If so, give the values of \(n\) and \(p\). 8 m(Cu(NO3)2) = ? The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. Find the expected number of skeins that contain knots. 3) Classify the following random variable according to whether it is discrete or continuous. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . The number of breakdowns of city buses in a large city in one week. A continuous variable is one whose value can be obtained by measuring it. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? If the ball does not land on an even numbered slot, he loses his dollar. Discrete Continuous Continuous Continuous Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. So, it is a discrete variable. Do not write any units. 2. Thus, it is a discrete variable. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. Adverse growing conditions have caused \(5\%\) of grapefruit grown in a certain region to be of inferior quality. 0.34 .. Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will. He makes four sales calls each day. The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . B. It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. 5 This site is using cookies under cookie policy . The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. Get an expert answer. Continuous P(D) = 0.80, P(I) = 0.20 (Make a reasonable estimate based on experience, where necessary.). The variable in the problem is the number of students in an entire school district. 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. . Goneril buys ten skeins to crochet an afghan. Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. what pairs of lines are parallel? the number of eggs laid each month by a hen. Variable X consists of number of automobile accidents which can be counted. When dropped on a hard surface a thumbtack lands with its sharp point touching the surface with probability \(2/3\); it lands with its sharp point directed up into the air with probability \(1/3\). Find the probability of rolling doubles all three times. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. No. Tuleau-Malot, C. Variable selection using random forests. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, If either one of the units is defective the shipment is rejected. Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. 92 3.99 Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. : The function f(x) = -x^4 + 3 does not have an absolute maximum. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. B. Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. c.M: the amount of milk produced yearly by a particular cow. Determine the . 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? Questions 2, 3. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. Find the chance that he guesses correctly between four and seven times. -0.37 The weight of refuse on a truck arriving at a landfill. Complete: The absolute value of a number is its distance from ? Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. The probability that he will, Q:Calculate r, the correlation coefficient ________________ *Response times may vary by subject and question complexity. Classify the following random variables as discrete or continuous. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. Find the probability that Borachio will produce more than three blemished tires tomorrow. 3. If not, explain why not. The number of accidents per year at an intersection. 1 Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. average (x)=995 at separates the lower 40 % of the bills from the rest. Determine whether or not the table is a valid probability distribution of a discrete random variable. The number of winners in lotto for each day 3. State the null and alternative hypotheses (in g/cm2). Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. of patients = 10 vising nurse wants to visit all patients in one day. The weight of the professional wrestlers 6. A roulette wheel has \(38\) slots. The area of lots in an exclusive subdivision 4. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? of categories (k) = 5 m(Cu(NO3)2) = ? Are movie time lengths discrete or continuous variables? Answer: Discrete, quantitative, ratio Q:What is the standard deviation of this distribution? 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). The number of students who actually register for classes at a university next semester. Recalculate according to your conditions! Find the average number of patients each day who require a sedative. Moment generating function of X is Classify the following random variables as discrete or continuous. Find the average number of nails per pound. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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