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
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.
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