(i)[3]
Find the probability that at least 2 of the 5 integers are less than or equal to $4$.
(ii)[4]
Robert now produces $n$ random integers from 1 to 9 inclusive. The random variable $X$ counts how many of these $n$ integers are less than or equal to an integer $k$ between $1$ and $9$ inclusive. It is given that the mean of $X$ is $96$ and the variance of $X$ is $32$. Determine the values of $n$ and $k$.