Question

A consumer survey has derived the following probability distribution for the number of coffee cups drunk per day

no. of cups	0	1	2	3	4	5	6	7	>7
male	0.40	0.34	0.12	0.05	0.04	0.03	0.01	0.01	0.00
female	0.47	0.35	0.08	0.06	0.02	0.01	0.01	0.00	0.00

(a) Separately for each gender, what is the probability of drinking more than two cups per day?

Male:

Female:

(b) Calculate for each gender the average number of cups of coffee drunk per day.

Male:

Female

(c) Calculate the probability that, in a group comprising 3 men and 2 women, exactly two are coffee-drinkers.  State any assumptions you are making.

Answer 1