A large community college district has 1500 teachers, of whom 50% are men and 50% are women. In this district, administrators are promoted from among the teachers. There are currently 50 administrators, and 60% of these administrators are men. Complete parts (a) through (d) below. a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 60% or more? 0.079 (Round to three decimal places as needed.) b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be 40% or less? (Round to three decimal places as needed.)

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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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A large community college district has 1500 teachers, of whom 50% are men and 50% are women. In this district, administrators are promoted from among the teachers.
There are currently 50 administrators, and 60% of these administrators are men. Complete parts (a) through (d) below.
a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 60% or more?
0.079 (Round to three decimal places as needed.)
b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be 40% or less?
(Round to three decimal places as needed.)
Transcribed Image Text:A large community college district has 1500 teachers, of whom 50% are men and 50% are women. In this district, administrators are promoted from among the teachers. There are currently 50 administrators, and 60% of these administrators are men. Complete parts (a) through (d) below. a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 60% or more? 0.079 (Round to three decimal places as needed.) b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be 40% or less? (Round to three decimal places as needed.)
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