(3) Suppose you flip a fair coin four times, or until you get a H, whichever happens first. Let X denote the total number of flips you performed. (a) Draw a tree diagram and list the outcomes in S....

Extracted text: (3) Suppose you flip a fair coin four times, or until you get a H, whichever happens first. Let X denote the total number of flips you performed. (a) Draw a tree diagram and list the outcomes in S. (b) Briefly explain why each outcome in S is not equally likely. You may assume the flips are independent. (c) Describe the distribution of X. (d) Compute P(X = 0). (e) Compute P(X < 1).="" (f)="" compute="" p(x=""> 1). (g) Compute E(X).