In a certain population, the random variable x can only assume the values 4 and 8. The probability distribution for x is given below. Construct the sampling distribution for the sample mean ( used by x bar) if random samples of size n=5 are drawn from the population.
for x=4 the probability is p(x)= .3
for x= 8 the probability is p(x)= .7
Note: Each possible sample is not likely to be chosen.