The probab~lity distribution shown here describes a population of measurements that can assume values of 0,2.4. and

Question:

The probab~lity distribution shown here describes a population of measurements that can assume values of 0,2.4. and 6, each of which occur5 w~th the same relatlve frequency:

a. List all the different samples of n = 2 measure-

ments that can bc selected from this population.

b. Calculate the mean of each different sample listed in part a.

c If a sample of n = 2 measurements is randomly se- I /I I lected 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 the population. List the different values of T found in part

b, and find the probability of each. Then give the sampling distribution ol the sample mean i in tabular form.

e. Construct a probability histogram for the sampling distribution of 2.

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