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 16% of all applications were from minority candidates and that exactly 14% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 2100 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. (b) Find the standard deviation of p. (c) Compute an approximation for P(p<0.14), 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.

MATLAB: An Introduction with Applications
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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 16% of all applications were from minority candidates and that exactly 14% of the open
positions were filled by members of a minority.
For the investigation, the DEI office will take a random sample of 2100 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.
(b) Find the standard deviation of p.
(c) Compute an approximation for P (p<0.14 ), 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.
Transcribed Image Text: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 16% of all applications were from minority candidates and that exactly 14% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 2100 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. (b) Find the standard deviation of p. (c) Compute an approximation for P (p<0.14 ), 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.
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