JEE Main 2019MathematicsProbabilityBinomial DistributionmediumMCQ

JEE Main 2019Probability Question with Solution

From: JEE Main 2019 (Online) 12th April Morning Slot

Question

Let a random variable X have a binomial distribution with mean 8 and variance 4. If , then k is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C137

Step-by-step explanation

Let number of trials be n and probability of success = p, probability of failure = q

Given np = 8, npq = 4

q = , p = , n = 16 (as p + q = 1)

p =

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About this question

This is a previous-year question from JEE Main 2019, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.