List of top Mathematics Questions on binomial distribution

In a binomial distribution, the mean is 4 and variance is 3. Then, its mode is:

In a binomial distribution $B(n, p)$, the sum and the product of the mean and the variance are 5 and 6 respectively, then $6(n+p-q)$ is equal to

$A(2,6,2), B(-4,0, \lambda), C(2,3,-1)$ and $D(4,5,0),|\lambda| \leq 5$ are the vertices of a quadrilateral $A B C D$ If its area is 18 square units, then $5-6 \lambda$ is equal to________

The random valuable X follows binomial distribution B (n, p) for which the difference of the mean and the variance is 1. If 2P(X = 2) = 3P(X = 1), then n²P(X > 1) is equal to

Let X be a binomially distributed random variable with mean 4 and variance 4/3. Then, 54 P(X≤ 2) is equal to

If in a binomial distribution n=4 and P(X=0)=dfrac1681, then P(X=4) equals

If in a binomial distribution \(n=4\), \(P(X=0)=\frac{16}{81}\), then \(P(X=4)\) equals

A boy is throwing stones at a target. The probability of hitting the target at any trial is \( \frac{1}{2} \). The probability of hitting the target 5th time at the 10th throw is: