Suppose that the probability distribution of a random variable x can be described by the formula
P(x) = (x - 3)2 / 55
for each of the values x = - 2, - 1, 0, 1. and 2.
a. Write 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 and standard deviation of x.