12. 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 44% of companies in Country A that have three or more female boarddirectors?

The probability is________________. (Round to four decimal places asneeded.)

b. The probability is 70% 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 70% that the sample percentage will be contained above ______________% and below ______________%.

(Round to one decimal place asneeded.)

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 asneeded.)