Allied & ICAR Exam Bank • ALLIED_1035 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Binomial distribution

Question Statement:

In a manufacturing line, the probability of producing a defective bolt is $p = 0.1$. If a random sample of 5 bolts is inspected, the probability of finding EXACTLY 1 defective bolt is:

Answer Key:

0.328

Step-by-Step Solution & Explanation

Binomial distribution $P(X = 1) = \binom{5}{1} (0.1)^1 (0.9)^4 = 5 \times 0.1 \times 0.6561 = 0.32805$.
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