Question

Let X be a random variable, and let P(X = x) denote the probability that X takes the value x. Suppose that the points (x, P(X = x)), x = 0,1,2,3,4, lie on a fixed straight line in the xy -plane, and P(X = x) = 0 for all x ∈ R - {0,1,2,3,4}. If the mean of X is $\frac{5}{2}$ , and the variance of X is α, then the value of 24α is ______.

Answer 1

The correct answer is: 42.