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if on the average rain falls on twelve days in every thirty, find the probabilit

ID: 3260820 • Letter: I

Question

if on the average rain falls on twelve days in every thirty, find the probability that (1) the first three days of a given week will be fine and the remaining wet, (2) rain will fall on just three days of a given week. if on the average rain falls on twelve days in every thirty, find the probability that (1) the first three days of a given week will be fine and the remaining wet, (2) rain will fall on just three days of a given week. if on the average rain falls on twelve days in every thirty, find the probability that (1) the first three days of a given week will be fine and the remaining wet, (2) rain will fall on just three days of a given week.

Explanation / Answer

Probability of falling rain on any given day = 12/30 = 0.4

(1) The first three days are fine and the remaining wet

soPr( of this happeing) = (0.4)3 (0.6) 4 = 0.0083

(2) rain will fall on just three days of given week.

Pr (rainfall on 3 days) = 7C3 (0.4)3 (0.6)4 = 0.29