For a binomial distribution,the mean and variance are $6$ and $4$ respectively. Find the value of $n$.

At least how many times must a fair coin be tossed so that the probability of getting at least one head is at least $0.8$?

Find the probability distribution of the number of doublets in three throws of a pair of dice.

Suppose $X$ follows a binomial distribution with parameters $n$ and $p$,where $0 < p < 1$. If $\frac{P(X=r)}{P(X=n-r)}$ is independent of $n$ for every $r$,then $p$ is equal to

For a Binomial variate $X$,the mean is $2$ and the variance is $1$. Then,the odds in favor of $X=0$ are:

Let $\lim _{t \rightarrow 0}(1+5 t)^{\frac{1}{t}}=K$ and $X$ be the random variable representing the number of successes in $100$ independent trials. If the probability of success in each trial is $0.05$, then the probability of getting at least one success is