discrete random variable X has the following probability distribution. x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2 1. Find an expression for q in terms of p. 2. Find the value of p which gives the largest value of E(X) 3. Hence, find the largest value of E(X)
discrete random variable X has the following probability distribution. x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2 1. Find an expression for q in terms of p. 2. Find the value of p which gives the largest value of E(X) 3. Hence, find the largest value of E(X)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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A discrete random variable X has the following probability distribution.
x | 0 | 1 | 2 | 3 |
P(X=x) | q | 4p2 | p | 0.7 - 4p2 |
1. Find an expression for q in terms of p.
2. Find the value of p which gives the largest value of E(X)
3. Hence, find the largest value of E(X)
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