Including each term of series, and see form geometric series or not. And test for convergence 5k-1c) Given Pk6k 1show that E1 Pk = 1 and find E(X), if it exists.%3D%3D1d) Given pk =show that E-1 Pk = 1 and find E(X), if it exists.%3Dk(k+1)' Given that a random variable X can be assumed to have the values 1,2, 3, . withprobabilities p1, P2, P3, ** where Pk is the probability that X equals k with k 1, 2, 3, .Suppose that Pk >0 and Ei Pk = 1, while the expected value of X, denoted by E(X), is%3Dthe number E-1 kpz provided the series converges.

Answered: Image /qna-images/answer/9da549df-5a71-4c8f-99d5-61e18e33eb58.jpg

Answered: 5k-1 c) Given pk = 6k 1 show that E1 Pk…

5k-1 c) Given pk = 6k 1 show that E1 Pk = 1 and find E(X), if it exists. %3D 1 d) Given pk = show that E=1 Pk = 1 and find E(X), if it exists. %3D k(k+1)'

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...

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Question

100%

Including each term of series, and see form geometric series or not. And test for convergence

5k-1
c) Given Pk
6k 1
show that E1 Pk = 1 and find E(X), if it exists.
%3D
%3D
1
d) Given pk =
show that E-1 Pk = 1 and find E(X), if it exists.
%3D
k(k+1)'

Given that a random variable X can be assumed to have the values 1,2, 3, . with
probabilities p1, P2, P3, ** where Pk is the probability that X equals k with k 1, 2, 3, .
Suppose that Pk >0 and Ei Pk = 1, while the expected value of X, denoted by E(X), is
%3D
the number E-1 kpz provided the series converges.

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