Question

i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find P(X = 4).

ii) Let X equal the larger outcome when a pair of four-sided dice is rolled. The pmf of X is

f(x) = (2x - 1/ 16) ; x = 1; 2; 3; 4.

Find the mean, variance and standard deviation of X.

iii) Let μ and σ^2 denote the mean and variance of the random variable able X. Determine E [(X - μ/σ ] and E{ [(X -μ)/σ ]^2}

Answer 1