(Solved): Consider the following probability distribution this population. b. Calculate the mean of each diff ...

Consider the following probability distribution this population. b. Calculate the mean of each different sample. c. Of a sample of \( n=2 \) measurements is randomly selected from the population, what is the probability that a specific sample will be selected? d. Assume that a random sample of \( n=2 \) measurements is selected from a population. List the different values of \( \bar{x} \) and find the probability of each. Then give the sampling distribution of the sample mean \( \bar{x} \) in tabular form. e. Construct a probability histogram from the sampling distribution of \( \bar{x} \).