Question

(5.16) A sociology professor asks her class to observe cars having a man and a woman in the front seat and record which of the two is the driver.

(a) Explain why it is reasonable to use the binomial distribution for the number of the male drivers who own cars if all observations are made in the same location at the same time of day.

(b) Explain why the binomial model may not apply if half the observations are made outside a church on sunday morning and half are made on campus after a dance.

(c) The professor requires students to observe 10 cars during business hours in a retail district close to campus. Past observations have shown that the man is driving about 85% of cars in this location. What is the probability that the man is driving 8 or fewer of the 10 cars?

(d) The class has 10 students who will observe 100 cars in all. What is the probability that the man is driving 80 or fewer of these?

Answer 1

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