A random variable \(X\) is said to be distributed as…

A random variable $X$ is said to be distributed as $\operatorname{Bernoulli}(\theta)$, denoted by $X\sim\operatorname{Bernoulli}(\theta)$, if $P(X=1)=\theta,\quad P(X=0)=1-\theta$ for $0<\theta<1$. Let $Y=\sum_{i=1}^{300}X_i$, where $X_i\sim\operatorname{Bernoulli}(\theta)$, $i=1,2,\ldots,300$ are independent and identically distributed random variables with $\theta=0.25$. The value of $P(60\leq Y\leq 90)$, after approximation through Central Limit Theorem, is given by

(Recall that $\phi(x)=\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{x}e^{-t^2/2}\,dt$.)