According to an industry survey, women make more photo prints than men. Eighty per cent of users of photo-printing kiosks are women. Sixty-three per cent of women think photo prints are important, compared with only 53% for men. Also, 19% of women use an online photo-printing service, compared with 15% for men.

(a) Suppose a random sample of 10 people who use a particular photo-printing kiosk is selected. What is the probability that more than 7 of them are women? What is the expected number of women in the sample?

(b) If a random sample of 15 women is selected, what is the probability that all of them think photo prints are important? What is this probability for a random sample of 15 men?

(c) A random sample of 20 men is selected. What is the probability that none of them use an online photo-printing service? If this event actually occurred, what might you conclude about the percentage of men who use an online photo-printing service?