Allied & ICAR Exam Bank • ALLIED_2743 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

For a Poisson distribution with parameter $\lambda$, the mean and variance are:

Options:

  • (A) Both equal to $\lambda$
  • (B) Mean = $\lambda$, Variance = $\lambda^2$
  • (C) Mean = $\lambda$, Variance = $\sqrt{\lambda}$
  • (D) Mean = $\lambda^2$, Variance = $\lambda$

Answer Key:

A

Step-by-Step Solution & Explanation

A hallmark property of the Poisson distribution is that its mean and variance are identical: $\mu = \sigma^2 = \lambda$.
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