Rework problem 30 in section 4.2 of your text, involving the flipping of one of three coins. Assume that you have two fair coins and an unfair coin with Pr[H]=14. You randomly select one of these coins, and flip it twice. A random variable X is defined to be the number of heads you observe. Find the probability Density Function.

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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Rework problem 30 in section 4.2 of your text, involving the flipping of one of three coins. Assume that you have two fair coins and an unfair coin with Pr[H]=14. You randomly select one of these coins, and flip it twice. A random variable X is defined to be the number of heads you observe. Find the probability Density Function.

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