7. If the moment generating function of X is given by M(t) = exp(500t + 5000t²). d) Find P(27060 ≤ (X - 500)² ≤ 50240).e) Find the mean of (X - 500)², i.e. E((X - 500)²).

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Answered: d) Find P(27060 ≤ (X-500)² ≤ 50240). e)…

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d) Find P(27060 ≤ (X-500)² ≤ 50240). e) Find the mean of (X - 500)², i.e. E ((X - 500)²).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 54E

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Question

7. If the moment generating function of X is given by M(t) = exp(500t + 5000t²).

d) Find P(27060 ≤ (X - 500)² ≤ 50240).
e) Find the mean of (X - 500)², i.e. E((X - 500)²).

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