An insurance salesman sells policies to 5 men, all of identical age in good health….

(a) An insurance salesman sells policies to 5 men, all of identical age in good health.

According to the actuarial tables the probability that a man of this particular age will be

alive 30years hence is 2

3

. Find the probability that in 30 years

(i) All men will be alive

(ii) At least 3men will be alive

(iii) Only two men will be alive

(iv) At least 1 man will be alive

2

(b) The following table contains the probability distribution of the number of daily traffic

accidents in a small city.

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