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It is observed that it rains 12 days out of 30 days. Find the probability that 

(i) it rains exactly 3 days of the week. 

(ii) it will rain at least 2 days of a given week.

1 Answer

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Best answer

Let X = the number of days it rains in a week.

p = probability that it rains

The p.m.f of X is given by

(i) P(it rains exactly 3 days of week) = P(X = 3)

Hence, the probability that it rains exactly 3 days of week = 0.2903.

(ii) P(it will rain at least 2 days of the given week)

Hence, the probability that it rains at least 2 days of a given week = 0.8414.

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