Find the mean of the Binomial distribution $B\left(4, \frac{1}{3}\right)$.

Let $X$ be a random variable having binomial distribution $B(7, p)$. If $P(X=3) = 5P(X=4)$,then the sum of the mean and the variance of $X$ is

In a university campus,the probability that a person chosen at random is an engineering student is $\frac{1}{5}$. The probability of having at most two engineering students in a sample of $8$ people is:

If the mean and variance of a Binomial variable $X$ are $\frac{5}{2}$ and $\frac{5}{4}$ respectively,then $P(X>1)=$

An unbiased coin is tossed to get $2$ points for turning up a head and $1$ point for the tail. If three unbiased coins are tossed simultaneously,then the probability of getting a total of an odd number of points is

$A$ fair coin is tossed a fixed number of times. If the probability of getting five heads is equal to that of getting seven heads,then the probability of getting four heads is