A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 10% of all applications were from minority members, and exactly 8% of the 900 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 900 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P ps0.08), which is the probability that there will be 8% or fewer minority member applications in a random samnle of 000 from all anplis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts.
Exactly 10% of all applications were from minority members, and exactly 8% of the 900 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 900 that is drawn from all applications.
(b) Find the standard deviation of p.
(c) Compute an approximation for P p50.08), which is the probability that there will
be 8% or fewer minority member applications in a random sample of 900 drawn
from all applications. Round your answer to four decimal places.
Transcribed Image Text:A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 10% of all applications were from minority members, and exactly 8% of the 900 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 900 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P p50.08), which is the probability that there will be 8% or fewer minority member applications in a random sample of 900 drawn from all applications. Round your answer to four decimal places.
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