The random variable X follows binomial distribution B(n, p), for which the difference of the mean and the variance is 1. If 2 P(X=2)=3 P(X=1), then n² P(X>1) is equal to:

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q4896

JEE Main 202313 Apr, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

The random variable

\mathrm{X}

follows binomial distribution

\mathrm{B}(\mathrm{n}, \mathrm{p})

, for which the difference of the mean and the variance is 1 . If

2 \mathrm{P}(\mathrm{X}=2)=3 \mathrm{P}(\mathrm{X}=1)

, then

n^{2} \mathrm{P}(\mathrm{X}>1)

is equal to :