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 31% and 45% of companies in Country A that have three or more female board directors? The probability is 08208 (Round to four decimal places as needed) b. The probability is 80% that the sample percentage of Country A companies having three or more fomale board drectors will be contaned within what symmetrical limits of the population percentage? The probability is 80% that the sample percentago will be contained above and belowN (Round to one decimal place as needed)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A study reports that 36% of companies in Country A have three or more female board directors. Suppose you sekect a random sample of 100
respondents. Complete parts (a) through (c) below.
a. What is the probability that the sample will have botween 31% and 45% of companies in Country A that have three or more fomale board
directors?
The probability is 0.8208 (Round to four decimal places as needed)
b. The probability is 80% that the sample percentage of Country A companies having three or more female board directors will be contaned
within what symmetrical limits of the population percentage?
The probability is 80% 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 sekect a random sample of 100 respondents. Complete parts (a) through (c) below. a. What is the probability that the sample will have botween 31% and 45% of companies in Country A that have three or more fomale board directors? The probability is 0.8208 (Round to four decimal places as needed) b. The probability is 80% that the sample percentage of Country A companies having three or more female board directors will be contaned within what symmetrical limits of the population percentage? The probability is 80% that the sample percentage will be contained above and below (Round to one decimal place as needed)
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