An IRS auditor randomly selects 5 tax returns from 42 returns of which 15 contain errors. What is the probability that (A) none of the returns, (B) at least one, (C) between 1 and 4, and (D) at most 4 of the returns that she selects contain an error? Compute the mean, variance, and standard deviation for the probability distribution of the erroneous tax returns.