Question: Consider the population described by the probability distribution shown below. The random variable x is observed twice. If these observations are independent, verify that the

Consider the population described by the probability shown below.

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 shown in the next column.

Consider the population described by the probability distribution shown below.The

a. Find the sampling distribution of the sample mean
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.

p(x) .2 3 ..2.1 abl 04 02 04 06 04 04 02 02 03 02 02 01 p 451234512345 3, 3 4 4 4 4 4 5 5 5 5 5 i 04 06 04 04 02 06 09 06 06 03 04 06 04 p 1234512345123 1, 1 1 1 1 2 2 2 2 2 3 3 3.

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