(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).
(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).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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