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Math 1350 6.1 Bookwork p. 290, #5 Name 6.5 Consider the population described by the probability distribution shown here: x 12345 P(x) 2.3.2.2.1 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 1,1 .04 3,4 .04 1,2 .06 3,5 .02 1,3 .04 4,1 .04 1,4 .04 .06 1,5 .02 4,3 .04 2,1 .06 4,4 04 2,2 .09 4,5 .02 2,3 06 5, 1 02 2,4 .06 5,2 .03 2,5 .03 5,3 02 3, 1 .04 5,4 .02 3,2 06 5,5 .01 3, 3 .04 a. Find the sampling distribution of the sample mean z. b. Construct a probability histogram for the sampling distribution of . c. What is the probability that is 4.5 or larger? d. Would you expect to observe a value of equal to 4.5 or larger? Explain. 44444 4,2 UN 55555 RS

Math 1350 6.1 Bookwork p. 290, #5 Name 6.5 Consider the population described by the probability distribution shown here: x 12345 P(x) 2.3.2.2.1 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 1,1 .04 3,4 .04 1,2 .06 3,5 .02 1,3 .04 4,1 .04 1,4 .04 .06 1,5 .02 4,3 .04 2,1 .06 4,4 04 2,2 .09 4,5 .02 2,3 06 5, 1 02 2,4 .06 5,2 .03 2,5 .03 5,3 02 3, 1 .04 5,4 .02 3,2 06 5,5 .01 3, 3 .04 a. Find the sampling distribution of the sample mean z. b. Construct a probability histogram for the sampling distribution of . c. What is the probability that is 4.5 or larger? d. Would you expect to observe a value of equal to 4.5 or larger? Explain. 44444 4,2 UN 55555 RS

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Math 1350 6.1 Bookwork p. 290, #5 Name 6.5 Consider the population described by the probability distribution shown here: x 12345 P(x) 2.3.2.2.1 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 1,1 .04 3,4 .04 1,2 .06 3,5 .02 1,3 .04 4,1 .04 1,4 .04 .06 1,5 .02 4,3 .04 2,1 .06 4,4 04 2,2 .09 4,5 .02 2,3 06 5, 1 02 2,4 .06 5,2 .03 2,5 .03 5,3 .02 3, 1 .04 5,4 .02 3,2 06 5,5 .01 3,3 .04 a. Find the sampling distribution of the sample mean z. b. Construct a probability histogram for the sampling distribution of z. c. What is the probability that is 4.5 or larger? d. Would you expect to observe a value of equal to 4.5 or larger? Explain. 44444 4,2 UN 55555
Transcribed Image Text:Math 1350 6.1 Bookwork p. 290, #5 Name 6.5 Consider the population described by the probability distribution shown here: x 12345 P(x) 2.3.2.2.1 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 1,1 .04 3,4 .04 1,2 .06 3,5 .02 1,3 .04 4,1 .04 1,4 .04 .06 1,5 .02 4,3 .04 2,1 .06 4,4 04 2,2 .09 4,5 .02 2,3 06 5, 1 02 2,4 .06 5,2 .03 2,5 .03 5,3 .02 3, 1 .04 5,4 .02 3,2 06 5,5 .01 3,3 .04 a. Find the sampling distribution of the sample mean z. b. Construct a probability histogram for the sampling distribution of z. c. What is the probability that is 4.5 or larger? d. Would you expect to observe a value of equal to 4.5 or larger? Explain. 44444 4,2 UN 55555
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