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(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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3 a,b,c

(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).
Transcribed Image 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).
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