A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 16% of all applications were from minority members, and exactly 15% of the 2100 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P(ps 0.15), which is the probability that there will be 15% or fewer minority member applications in a random sample of 2100 drawn from all applications. Round your answer to four decimal places.