Suppose that the probability distribution of a random variable x can be described by the formula p(x) = x /15
for each of the values x = 1, 2, 3, 4, and 5. For example, then, P(x = 2) = p(2) = 2/15.
A) Write out the probability distribution of x.
b) Show that the probability distribution of x satisfies the properties of a discrete probability distribution.
c) Calculate the mean of x.
d) Calculate the variance, O2x, and the standard deviation, Ox.