Allied & ICAR Exam Bank • ALLIED_0086 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

In a binomial distribution with $n = 4$ independent trials and probability of success $p = 0.5$, the probability of getting exactly 2 successes is:

Answer Key:

0.375

Step-by-Step Solution & Explanation

$P(X = 2) = \binom{4}{2} (0.5)^2 (0.5)^2 = 6 \times 0.0625 = 0.375$.
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