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. A 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. (b) Find the standard deviation of p. (c) Compute an approximation for P<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. Español E S

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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 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.
(b) Find the standard deviation of p.
(c) Compute an approximation for P≤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.
Español
F
S
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 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. (b) Find the standard deviation of p. (c) Compute an approximation for P≤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. Español F S
Expert Solution
Step 1

Given data:

Sample size = 1650

Here to find, mean and standard deviation for minority candidates.

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