Q17 of 99 Page 33

If X follows a binomial distribution with mean 4 and variance 2, find P(X ≥ 5).

Given that parameters for binomial distribution are n, p

Now, np = 4

⇒ n = 8

The required binomial distribution is given by,

Now, P(X≥5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

A die is thrown thrice. A success is 1 or 6 in a throw. Find the mean and variance of the number of successes.

If a random variable X follows a binomial distribution with mean 3 and variance 3/2, find P(X ≤ 5).

The mean and variance of a binomial distribution are 4/3 and 8/9 respectively. Find P (X ≥ 1).

If the sum of the mean and variance of a binomial distribution for 6 trials is 10/3, find the distribution.