Question: Refer to Exercise 6.5 and find E(x) = (. Then use the sampling distribution of x found in Exercise 6.5 to find the expected value

Refer to Exercise 6.5 and find E(x) = (. Then use the sampling distribution of xÌ… found in Exercise 6.5 to find the expected value of xÌ… . Note that E(x) = (?

Refer to exercise 6.5,

Consider the population described by the probability distribution shown here:

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:

2 3 .2 4 P(x) .2 .1 .2 Sample Probability Sample Probability 1,1 1,2 1,3 1,4 1,5 2,1 2,2 2,3 2,4 2,5 3,1 3,2 3,3 .04 3,4 3,5 4,1 4, 2 4,3 .04 .06 .02 .04 .04 .04 .06 .02 .04 .06 4, 4 4,5 5,1 5,2 5,3 5,4 5,5 .04 .09 .02 .06 .02 .06 .03 .03 .02 .04 .02 .06 .01 .04 234 512 451 iiiieri eri eri

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