List of top Mathematics Questions on binomial distribution

In a binomial distribution, the mean is 4 and the variance is 3. Then the number of trials $n$ is:
If \(X\sim B(n,\frac12)\), minimum \(n\) such that \[ P(X\ge2)\ge0.6 \] is
Four cards are drawn successively with replacement from well shuffled deck of 52 cards, then the probability that only two cards are club cards is ...........
A random variable \(X\sim B(n,p)\) follows a binomial distribution with \(n = 6\). If \(9P(X = 4) = P(X = 2)\), then the probability of success \(p\) is..
If in \(6\) trials, X is a binomial random variable which follows the relation \(9P(x = 4) = P(x = 2)\), then the probability of failure is...
A fair die is thrown 4 times. If getting a prime number on the die is considered as a success, then the probability of getting no success at all is \(\ldots\)
A fair coin is tossed 9 times. On each toss, a man predicts that the outcome will be heads. The probability that the number of successful predictions is strictly greater than the number of unsuccessful predictions is...
Three numbers are chosen from 1 to 30. The probability that minimum is 10 and maximum is 26 is _______
If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?
If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...
Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success is
The Variance of the following probability distribution of X is
X\(0\)\(1\)\(2\)\(3\)
P(X)\(q^3\)\(3q^2p\)\(3qp^2\)\(p^3\)
where \(0 < p < 1,q = 1-p\)
The centers for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is \(0.8\). If \(8\) people are given this vaccine, then the probability that exactly \(4\) will develop immunity is...
In a multiple-choice examination, there are \(10\) questions with one correct option out of \(4\) options for each question. A student gets \(4\) marks for each correct answer and \(1\) mark is deducted for each incorrect answer. The probability that a student, guessing randomly on every question, scores \(30\) marks in this exam is...
The odds in favour of A winning a game of table tennis against B are 1:2. If 3 games are to be played, then the probability of A winning at least two games out of the three is.....
Let \(X\sim B(6,\frac{1}{2})\). Then the maximum probability occurs at
If \(X\sim B(n,p)\), then the value of \(\frac{P(X = k)}{P(X = k-1)}\) is
Let \(X\sim B(n,p)\). If \(E(X) = 2\) and \(\text{Var}(X) = 1\), then the probability of getting at most one success 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
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