GATE 2025 BM – Question 38

Engineering Mathematics · Probability and Statistics · 2 marks · Multiple choice

A binomial variable from N independent trials has expectation 16 and variance 12. Find N.

Show answer and explanation

Correct answer: (D) 64

Explanation

For Binomial(N,p), Np=16 and Np(1−p)=12. Dividing gives 1−p=12/16=3/4, so p=1/4. Then N=16/(1/4)=64, D.

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