List of top Mathematics Questions on binomial distribution asked in AP EAPCET

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 \[ X\sim B\!\left(n,\frac14\right), \] \[ P(X=2)=P(X=3) \] 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:

A discrete random variable \(X\) has the distribution \(B(15,p)\). Given that \[ \operatorname{Var}(X)=3.15, \] then the two possible values of \(p\) are

When success is not an impossible event, then the mean of Binomial distribution is

It is given that the discrete random variable \[ X\sim B(n,p) \] and \[ P(X=2)=P(X=3). \] Then mean of \(X\) is

Which of the following is not a property of a Binomial distribution?

In a Binomial distribution \(B(n,p)\), if the mean and variance are \(15\) and \(10\) respectively, then the value of the parameter \(n\) is

A random variable \(X\) follows the binomial distribution and \[ X\sim B(n,0.3). \] If the mean of \(X\) is three times as large as the standard deviation of \(X\), then \(n=\)

In a Binomial distribution, if \(p=q\) and \(n\geq 4\), then \[ 2^nP(X=5)= \]