JEE Main 2022 · 29 Jul · Shift 2 · Mathematics Q21

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MathematicsInteger+4 / -1Question 21 of 90

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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Answer and worked solution

Official answer: 96

Mean and variance are roots of $t^2-82.5t+1350=0$ : 60 and 22.5. So $np=60$ , $q=\frac{22.5}{60}=\frac38$ , $p=\frac58$ , $n=96$ .

Answer: 96

Topics:Binomial distribution

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JEE Main 2022 · 29 Jul · Shift 2, Mathematics question 21