List of top Mathematics Questions on binomial distribution

If the mean and variance of a binomial variate \(X\) are \(2\) and \(1\) respectively, then the probability that \(X\) takes a value greater than one is

For a binomial variate \(X\) if \(n=5\) and \[ P(X=1)=8P(X=3), \] then its variance is

Mean and variance pair is given below. A pair representing the data of a binomial distribution is

If the mean and variance of a binomial variate \(X\) are \(2\) and \(1\) respectively, then the probability that \(X\) takes a value greater than one is

For a binomial variate \(X\) if \(n=5\) and \[ P(X=1)=8P(X=3), \] then its variance is

Mean and variance pair is given below. A pair representing the data of a binomial distribution is

In a binomial distribution \[ P(X=2)\div P(X=23)=\left(\frac{2}{3}\right)^{21}, \] then the mean of the binomial distribution is

If \(X\sim B(n,\frac12)\), minimum \(n\) such that \[ P(X\ge2)\ge0.6 \] is

If a coin is tossed \(10\) times, the probability of getting head at least two times but at most five times is

If \[ X\sim B\!\left(n,\frac14\right), \] \[ P(X=2)=P(X=3) \] and \[ \sum_{k=0}^{2}P(X=k)=\frac{39}{411}, \] then \(n=\)

In a binomial distribution, the mean is 4 and the variance is 3. Then the number of trials $n$ is:

The probability of a shooter hitting a target is \( \frac{3}{4} \). Find the probability of hitting the target exactly 4 times in 5 shots.

In a Binomial distribution with \(n=10\) and \(p=0.4\), find the variance.

Four unbiased coins are tossed simultaneously. Probability of getting at most two heads is ________.

The probability that a student is not a swimmer is 1/5. The probability that out of 5 students selected at random 4 are swimmers is ______.

The probability that a person is not a sportsperson is $1/6$. Then the probability that out of 6 members of the family, 5 are sportspersons is ______.

If (X \sim B(35, p)) such that (7P(X = 0) = P(X = 1)) then the value of (\frac{P(X=15){P(X=20)}) is equal to

Two cards are drawn successively with replacement from fair playing 52 cards. let X denote number of kings obtained when two cards are drawn, then ( E(X^2) = )

If $f(1) = 1, f'(1) = 3$, then the derivative of $f(f(f(x))) + (f(x))^2$ at $x = 1$ is

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

The modulus of the square root of the conjugate of $-7 + 24\sqrt{-1}$ is __________

The probability that a certain kind of component will survive a given test is \(\frac{2}{3}\). The probability that at most \(2\) components out of \(4\) tested, will survive is

If (X \sim B(35, p)) such that (7P(X = 0) = P(X = 1)) then the value of (\frac{P(X=15){P(X=20)}) is equal to

Two cards are drawn successively with replacement from fair playing 52 cards. let X denote number of kings obtained when two cards are drawn, then ( E(X^2) = )

An unbiased die is tossed until 5 appears. If \( X \) denotes the number of tosses required, \( \frac{25}{P(X=5)} \) is equal to