Given that b>a, determine the value of k that results in the following function being a probability distribution. P(x)= {k(x-a)(x-b)  a ≤ x ≤ b                     0           otherwise  The answer should include a polynomial term in a and b. a,b can be left in standard form but does have a nice factored form

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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Given that b>a, determine the value of k that results in the following function being a probability distribution.

P(x)= {k(x-a)(x-b)  a ≤ x ≤ b 

                   0           otherwise 

The answer should include a polynomial term in a and b. a,b can be left in standard form but does have a nice factored form 

 

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