JEE Main 2022 — Probability Question with Solution
From: JEE Main 2022 (Online) 29th July Evening Shift
Question
The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350 respectively. Then the number of trials in the binomial distribution is ____________.
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Show full solutionCorrect answer: 96
Correct answer
96
Step-by-step explanation
Let two roots of a quadratic equation are mean = np and variance = npq.
Given
and
Quadratic equation is
Mean and Variance
Given
and
Quadratic equation is
Mean and Variance
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This is a previous-year question from JEE Main 2022, 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.