Is the expected value of the probability distribution of a random variable always one of the possible values of x? Explain.Choose the correct answer below.O A. No, because the expected value is always 1.O B. Yes, because the expected value is the most likely outcome over a large number of trials.OC. No, because the expected value may not be a possible value of x for one trial, but it represents the average value of x over a large number of trials.O D. No, because the expected value is always 0.

Step 1The expected value of the probability distribution is a possible value of x for one trial, but…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In the 2010 U.S. Census, one of the questions asked was “How many people live in your household?” The table below shows the probability distribution of this variable, X. X (Number of People) 1 2 3 4 5 6 7 P(X = x) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 What is the probability that a randomly chosen household has no more than 4 people living in it? 0.898 0.102 0.761 1.961 0.239
Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.63 0.13 0.11 0.02 0.11 (a) Find P2 . .
The table shown here represents the number of televisions per American household. According to this table, what is the probability that a given household will have MORE THAN 3 TV's?
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A commuter must pass through 5 traffic lights on her way to work each day, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits and is shown below. # of red lights Probability 0 0.05 1 0.25 2 0.35 3 0.15 4 0.15 5 0.05 What is the probability that the commuter will stop for at most 3 lights? Express your answer in decimal form as shown in the table.
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College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the numerical values of the random variable x are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. H= students (Round to one decimal place as needed.) O B.…
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4.43 Consider the probability distribution for the random vari- able x shown here: 2 .4 10 .2 1 4 P(x) 2
ols A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. 0 0 1 0.2447 2 0.3208 3 0.2415 4 0.1073 P(X=x) 0.0857 ... a. Find and interpret the mean of the random variable. =(Round to four decimal places as needed.) View an example Help me solve this Get more help. F5 A MacBook Air F6 F7 DII Clear all FB F9 I Check answer F10 F11
A sociologist surveyed the households in a neighboring town and recorded the number of dependent children in the household. The following probability distribution was created based on the survey. Use the probability distribution to answer the following questions x 0 1 2 3 4 P(x) 0.07 0.20 0.38 0.22 0.13 True or false. The expected number of dependent children in the household must be a whole number because it represents what we expected to get in every household
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