Let X and Y be two independent random variables that represent the reward earned from Lottery 1 and Lottery 2, respectively. Their probability mass functions are given by: P(X = a,) = 1 – P(X = a2) = p, %3D P(Y = a3) = 1 – P(Y = a4) = q, where 0 < a, < az < az < a4 < 00 and 0 < qSp< 1. In an influence diagram that represents the problem to choose one of these two lotteries, there is no need to include any arc between the chance node of X and the chance node of Y. O True False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Let X and Y be two independent random variables that represent the reward earned from Lottery 1
and Lottery 2, respectively. Their probability mass functions are given by:
P(X = a,) = 1 – P(X = a2) = p,
P(Y = a3) = 1 – P(Y = a4) = q,
where 0< a, < az < az < a4 <0 and 0 < q <p<1. In an influence diagram that represents the
problem to choose one of these two lotteries, there is no need to include any arc between the chance
node of X and the chance node of Y.
O True
O False
Transcribed Image Text:Let X and Y be two independent random variables that represent the reward earned from Lottery 1 and Lottery 2, respectively. Their probability mass functions are given by: P(X = a,) = 1 – P(X = a2) = p, P(Y = a3) = 1 – P(Y = a4) = q, where 0< a, < az < az < a4 <0 and 0 < q <p<1. In an influence diagram that represents the problem to choose one of these two lotteries, there is no need to include any arc between the chance node of X and the chance node of Y. O True O False
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