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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