A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts (a) through (c) below. a. What is the probability that the sample will have between 32% and 43% of companies in Country A that have three or more female board directors? The probability is .7246. (Round to four decimal places as needed.) b. The probability is 60% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? The probability is 60% that the sample percentage will be contained above 32 % and below 40 %. (Round to one decimal place as needed.) c. The probability is 99.7% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? The probability is 99.7% that the sample percentage will be contained above % and below %. (Round to one decimal place as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts (a) through (c) below.
.....
a. What is the probability that the sample will have between 32% and 43% of companies in Country A that have three or more female board directors?
The probability is .7246 . (Round to four decimal places as needed.)
b. The probability is 60% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage?
The probability is 60% that the sample percentage will be contained above 32 % and below 40 %.
(Round to one decimal place as needed.)
c. The probability is 99.7% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage?
The probability is 99.7% that the sample percentage will be contained above
% and below
%.
(Round to one decimal place as needed.)
Transcribed Image Text:A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts (a) through (c) below. ..... a. What is the probability that the sample will have between 32% and 43% of companies in Country A that have three or more female board directors? The probability is .7246 . (Round to four decimal places as needed.) b. The probability is 60% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? The probability is 60% that the sample percentage will be contained above 32 % and below 40 %. (Round to one decimal place as needed.) c. The probability is 99.7% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? The probability is 99.7% that the sample percentage will be contained above % and below %. (Round to one decimal place as needed.)
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