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2017-08-30

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Birthday = 3

Sample space = { H, T }

P(H) = 1/3 P(T) = 2/3

Random Variable X(H ) = 5

                                X(T) =  1

P{H} = 1/3 P{T} = 1-1/3 =2/3

Expected Value E[X] = 5* P(H) + 1* P(T)

                                   = 5*1/3 + 1* 2/3
                                   = 7/3
                                   =$2.33

(Edited: 2017-08-30)

Birthday = 3 Sample space = { H, T } P(H) = 1/3 P(T) = 2/3 Random Variable X(H ) = 5 X(T) = 1 P{H} = 1/3 P{T} = 1-1/3 =2/3 Expected Value E[X] = 5* P(H) + 1* P(T) = 5*1/3 + 1* 2/3 = 7/3 =$2.33