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6.5 Consider the population described by the probability distribution shown here: 12345 p(2) 2 3 2 2.1 The random variable x is observed twice. If these observations are independent, verify that the differer size 2 and their probabilities are as follows: Sample Probability Sample Probability 3, 4 3,5 4, 1 1, 1 04 04 1, 2 1, 3 06 04 02 04 1 4 04 4 2 06

6.5 Consider the population described by the probability distribution shown here: 12345 p(2) 2 3 2 2.1 The random variable x is observed twice. If these observations are independent, verify that the differer size 2 and their probabilities are as follows: Sample Probability Sample Probability 3, 4 3,5 4, 1 1, 1 04 04 1, 2 1, 3 06 04 02 04 1 4 04 4 2 06

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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6.5 Consider the population described by the probability distribution shown here: 12345 p (z) 23 2 2.1 The random variable x is observed twice. If these observations are independent, verify that the different samples of size 2 and their probabilities are as follows: Sample Probability Sample Probability 3, 4 3,5 4, 1 4, 2 04 1, 1 1, 2 04 .06 02 1, 3 1, 4 04 04 .04 06 1,5 2, 1 2, 2 2, 3 02 06 4, 3 4, 4 4, 5 5, 1 5, 2 5, 3 04 04 .02 .06 02 2, 4 2,5 3, 1 3, 2 3, 3 a. Find the sampling distribution of the sample mean i. .06 .03 03 02 04 5, 4 02 06 5,5 .01 .04 b. Construct a probability histogram for the sampling distribution of z. c. What is the probability that ī is 4.5 or larger? d. Would you expect to observe a value of i equal to 4.5 or larger? Explain.
Transcribed Image Text:6.5 Consider the population described by the probability distribution shown here: 12345 p (z) 23 2 2.1 The random variable x is observed twice. If these observations are independent, verify that the different samples of size 2 and their probabilities are as follows: Sample Probability Sample Probability 3, 4 3,5 4, 1 4, 2 04 1, 1 1, 2 04 .06 02 1, 3 1, 4 04 04 .04 06 1,5 2, 1 2, 2 2, 3 02 06 4, 3 4, 4 4, 5 5, 1 5, 2 5, 3 04 04 .02 .06 02 2, 4 2,5 3, 1 3, 2 3, 3 a. Find the sampling distribution of the sample mean i. .06 .03 03 02 04 5, 4 02 06 5,5 .01 .04 b. Construct a probability histogram for the sampling distribution of z. c. What is the probability that ī is 4.5 or larger? d. Would you expect to observe a value of i equal to 4.5 or larger? Explain.
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