A certain brand of dinner ware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45% order the white, and 35% order the blue. Let X = 1 if a randomly...

A certain brand of dinner ware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45% order the white, and 35% 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 p_X
denote the success probability for X. Find p_X. b) Let p_Y
denote the success probability for Y. Find p_Y. c) Let p_Z
denote the success probability for Z. Find p_Z. d) Is it possible for both X and Y to equal 1? e) Does p_Z
= p_X
+ p_Y? f) Does Z = X + Y? Explain.