Allied & ICAR Exam Bank • ALLIED_2744 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

A fair coin is tossed $4$ times. The probability of obtaining exactly $2$ heads is:

Answer Key:

0.375

Step-by-Step Solution & Explanation

Binomial distribution: $P(X = 2) = \binom{4}{2} (0.5)^2 (0.5)^2 = 6 \times \frac{1}{16} = \frac{3}{8} = 0.375$.
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