If $X$ is a binomial variable with range $\{0, 1, 2, 3, 4\}$ and $P(X=3) = 3P(X=4)$,then the parameter $p$ of the binomial distribution is:

Out of $100$ people selected at random,$10$ have a common cold. If five persons are selected at random from the group,then the probability that at most one person will have a common cold is

$A$ random experiment is conducted five times. If the number of successes of the experiment follows a binomial distribution such that the difference between the mean and variance of the successes is $\frac{5}{9}$,then the probability of getting at most two successes is

$A$ person buys a lottery ticket in $50$ lotteries,in each of which his chance of winning a prize is $\frac{1}{100}$. What is the probability that he will win a prize at least twice?

Let in a Binomial distribution,consisting of $5$ independent trials,probabilities of exactly $1$ and $2$ successes be $0.4096$ and $0.2048$ respectively. Then the probability of getting exactly $3$ successes is equal to ....... .

If $X$ is a binomial variate with $n=7$ and $P(X=3)=P(X=4)$,then $P(X=5)$ is equal to: