Suppose hat probability distribution of a random variable x can be describe 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, σ2x, and the standard deviation, σx.