Question - The probability distribution for a discrete random variable X is given by the formula.
p(x) = x(x+1)/112 x = 1, 2, . . . , 6
a. Verify that this is a valid probability distribution.
b. Find P(X = 4).
c. Find P(X > 2).
d. Find the probability that X takes on the value 3 or 4.
e. Construct the corresponding probability histogram.