Allied & ICAR Exam Bank • ALLIED_0085 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

If accidents in an agro-industrial plant follow a Poisson distribution with mean $\lambda = 2$ per month, the probability of zero accidents in a month is (rounded off to three decimal places):

Answer Key:

0.135

Step-by-Step Solution & Explanation

$P(X = 0) = e^{-\lambda} = e^{-2} \approx 0.1353$.
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