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(2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T that results. Let X denote the total number of heads flipped. (a) Draw a tree diagram and list the outcomes in S. (b) Briefly explain why each outcome in S is 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).

(2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T that results. Let X denote the total number of heads flipped. (a) Draw a tree diagram and list the outcomes in S. (b) Briefly explain why each outcome in S is 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).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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(2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T that results. Let X denote the total number of heads flipped. (a) Draw a tree diagram and list the outcomes in S. (b) Briefly explain why each outcome in S is equally likely. You may assume the flips are independent. (c) Describe the distribution of X. (d) Compute P(X = 0). (е) Сompute P(X < 1). (() Compute P(х: (g) Compute E(X). > 1).
Transcribed Image Text:(2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T that results. Let X denote the total number of heads flipped. (a) Draw a tree diagram and list the outcomes in S. (b) Briefly explain why each outcome in S is equally likely. You may assume the flips are independent. (c) Describe the distribution of X. (d) Compute P(X = 0). (е) Сompute P(X < 1). (() Compute P(х: (g) Compute E(X). > 1).
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