The Diversity, Equity, and Inclusion (DEI) office of a major multinational bank is investigating the process used to make recent hires for financial analysts. The office knows that exactly 12% of all applications were from minority candidates and that exactly 10% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 1650 applications. Let p be the proportion of minority applicants in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. X 5 0 (b) Find the standard deviation of p. (c) Compute an approximation for P (p s 0.1), which is the probability that there will be fewer minority applicants in the sample than were hired by the bank. Round your answer to four decimal places