Let f(x) = 3x2 for 0 ≤ x ≤ 1, and f(x) = 0 elsewhere, be the probability density function of a continuous random variable X. What is the value of P(12 < X < 32)?

What is the number of trials of a binomial distribution having mean and standard deviation as 3 and 1.5 respectively?

If K is the mean of a Poisson distribution, then its variance is given by:

The cumulative distribution function F(x) associated with the probability density function f(x) = 12x2(1 - x) for 0 < x < 1 (and 0 otherwise) is: