JEE Main 2022 (Online) 30th June Morning ShiftQuestion 1
If a random variable $X$ follows the Binomial distribution $B(5,p)$ such that $P(X=0)=P(X=1)$, then $\frac{P(X=2)}{P(X=3)}$ is equal to :
Probability
Solution
$q^5=5pq^4$ gives $q=5p$. $\frac{P(2)}{P(3)}=\frac{10p^2q^3}{10p^3q^2}=\frac qp=5$.