Consider an infinite sequence of independent (possibly unfair) coin flips where the probability of each being heads is p ∈ [0, 1] . We define the family of random variables Xk to be the number of heads after k ii)  Let k>0 be even, and p= .Calculate P(Xk >k/2).Hint: you might want to also consider P (Xk < k/2) .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 24E
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Consider an infinite sequence of independent (possibly unfair) coin flips where the probability of each being heads is p ∈ [0, 1] . We define the family of random variables Xk to be the number of heads after k

  1. ii)  Let k>0 be even, and p= .Calculate P(Xk >k/2).Hint: you might want to also consider P (Xk < k/2) .
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