5. Suppose that X is a continuous random variable satisfies P(X > t) = + Be-Ht, t > 0, = ae where a + B = 1, a > 0, B > 0, 1 > 0, µ > 0. Compute E[X].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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5. Suppose that X is a continuous random variable satisfies
P(X > t)
-At
= ae
+ Be-Ht, t>0,
where a+3 = 1, a 2 0, B2 0, A > 0, µ > 0. Compute E[X].
Transcribed Image Text:5. Suppose that X is a continuous random variable satisfies P(X > t) -At = ae + Be-Ht, t>0, where a+3 = 1, a 2 0, B2 0, A > 0, µ > 0. Compute E[X].
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