List of top Mathematics Questions on binomial distribution asked in MET

An unbiased coin is tossed \(n\) times. If the probability of getting 5 heads is equal to the probability of getting 6 heads, then the probability of getting 3 heads is:

A multiple choice examination has 5 questions. Each question has 4 alternatives of which exactly one is correct. The probability that a student will get 4 or more correct answer just by guessing is

If \(X\) follows a binomial distribution with parameters \(n = 8\) and \(p = \frac{1}{2}\), then \(P(|x - 4| \le 2)\) is equal to

In a trial, the probability of success is twice the probability of failure. In six trials, the probability of at least four successes will be

If x follows a binomial distribution with parameters $n=100$ and $p=1/3$, then $p(X=r)$ is maximum when r equals

If $X$ is a binomial variate with the range 0, 1, 2, 3, 4, 5, 6 and $P(X=2)=4P(X=4),$ then the parameter $p$ of $X$ is

The probability of a bomb hitting a target is 1/2. The least number of bombs required to have a probability of hitting the target more than 0.9 is: