Aminority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. exactly of all applications were from minority members, and exactly of the open positions were filled by members of the minority. find the mean of , where is the proportion of minority member applications in a random sample of that is drawn from all applications. find the standard deviation of . compute an approximation for , which is the probability that there will be or fewer minority member applications in a random sample of drawn from all applications. round your answer to four decimal places.