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.

a. What is the probability that the sample will have between 30% and 44% of companies in Country A that have three or more female board directors?The probability is

.8466

(Round to four decimal places as needed.)

b. The probability is 90% 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 90% that the sample percentage will be contained above

enter your response here % and below enter your response here %.

(Round to one decimal place as needed.)