Represents a valid probability distribution

Question

The probability mass function (pmf) of X is given

X	0	1	2	3	4
p(y)	0.10	0.25	0.40	0.20	0.05

A) Verify that the given table represents a valid probability distribution.

B) Graph the pmf of Y and cdf of Y with appropriate labeling.

C) Compute E(Y)

D) Compute E(Y²)

E) Compute var(Y)