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4.1 Let X have a geometric distribution, that is p(x) = q*-'p x= 1,2,3, .. Where X has the memoryless property given by: P(X > k + b|X > k) = P(X > b). Given that you have already tossed a balanced coin 5 times and obtained Zero heads, what is the probability that you must toss it at least 3 more Times to obtain the first head?

4.1 Let X have a geometric distribution, that is p(x) = q*-'p x= 1,2,3, .. Where X has the memoryless property given by: P(X > k + b|X > k) = P(X > b). Given that you have already tossed a balanced coin 5 times and obtained Zero heads, what is the probability that you must toss it at least 3 more Times to obtain the first head?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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4.1 Let X have a geometric distribution, that is p(x) = q*-'p x = 1,2,3, .. Where X has the memoryless property given by: P(X > k + b|X > k) = P(X > b). Given that you have already tossed a balanced coin 5 times and obtained Zero heads, what is the probability that you must toss it at least 3 more Times to obtain the first head?
Transcribed Image Text:4.1 Let X have a geometric distribution, that is p(x) = q*-'p x = 1,2,3, .. Where X has the memoryless property given by: P(X > k + b|X > k) = P(X > b). Given that you have already tossed a balanced coin 5 times and obtained Zero heads, what is the probability that you must toss it at least 3 more Times to obtain the first head?
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