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MathsMediumMCQ2022 · 26 Jul Shift 2

Q80.Let 𝑋 be a binomially distributed random variable with mean 4 and variance 3. Then 54 𝑃𝑋≤2 is equal to (1) 73 (2) 146 27 27 146 126 (3) (4) 81 81

What This Question Tests

This question tests the understanding of the properties of binomial distribution, specifically calculating n and p from mean and variance, then computing a cumulative probability.

Concepts Tested

Mean and variance of binomial distributionProbability mass function

Formulas Used

Mean = np

Variance = npq

P(X=k) = nCk p^k q^(n-k)

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📋 Question Details

Chapter
Probability
Topic
Binomial distribution
Year
2022
Shift
26 Jul Shift 2
Q Number
Q80
Type
MCQ
NCERT Ref
Class 12 Mathematics Ch 13: Probability

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