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....

5Q. 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 34% and 40% of companies in Country A that have three or more female board directors? The probability is . (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 contained within what symmetrical limits of the populationpercentage? The probability is 80% that the sample percentage will be contained above % and below %. (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 populationpercentage? The probability is 99.7% that the sample percentage will be contained above % and below %. (Round to one decimal place as needed.)