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If the moment generating function of X is given by M(t) = exp(500t + 5000t²). a) Find the mean and standard deviation of X. b) Find P(X>650). c) Find P(X <710|X > 650). d) Find P(27060 ≤ (X - 500)² ≤ 50240). e) Find the mean of (X - 500)², i.e. E((X - 500)²).

If the moment generating function of X is given by M(t) = exp(500t + 5000t²). a) Find the mean and standard deviation of X. b) Find P(X>650). c) Find P(X <710|X > 650). d) Find P(27060 ≤ (X - 500)² ≤ 50240). e) Find the mean of (X - 500)², i.e. E((X - 500)²).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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part d, e

7. If the moment generating function of X is given by M(t) = exp(500t + 5000t²). a) Find the mean and standard deviation of X. b) Find P(X>650). c) Find P(X < 710|X > 650). d) Find P(27060 ≤ (X - 500)² ≤ 50240). e) Find the mean of (X - 500)², i.e. E((X - 500)²).
Transcribed Image Text:7. If the moment generating function of X is given by M(t) = exp(500t + 5000t²). a) Find the mean and standard deviation of X. b) Find P(X>650). c) Find P(X < 710|X > 650). 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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