(p. 66). The report shows that 38.46% of the water is consumed through faucets. In a random sample of 300 Polish families with three to four members, let pn represent the proportion of water consumption through faucets.

a. Find the mean of the sampling distribution of pn.

b. Find the standard deviation of the sampling distribution of pn.

c. What does the Central Limit Theorem say about the shape of the sampling distribution of pn?

d. Compute the probability that pn is less than .35.

e. Compute the probability that pn is greater than .40.