A certain brand of dinnerware set comes in three colors: red, white, and blue. 22% of customers order the red set, 44% order the white, and 34% order the blue. Let X = 1 if a randomly chosen order is for a red set, let X = 0 otherwise; let Y = 1 if the order is for a white set, let Y = 0 otherwise; let Z = 1 if it is for either a red or white set, and let Z = 0 otherwise.

a. Let pX denote the success probability for X Find PX.
b. Let pY denote the success probability for Y. Find py
c. Let pZ denote the success probability for Z. Find pZ.
d. Is it possible for both X and Y to equal 1?
e. Does pZ= pX + py?
f. Does Z= X+ Y? Explain.