Assume that the number of rainy days per month in a given city follows a Poisson...
Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 2.4 days. What is the probability that it will rain two or more days next month?
Homework Answers
Solution :
Given that ,
mean = 
= 2.4
Using poison probability formula,
P(X = x) = (e-
*
x ) / x!
P(X > 2) = 1 - [P(X = 0)- P(X = 1)]
= 1 - (e-2.4 * 2.40) / 0! -(e-2.4 * 2.41) / 1!
=1-0.3084
Probability =0.6916
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