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 different samples of size 2 and their probabilities are as shown in the next column.

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.

Transcribed Image Text:

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.