Suppose Y is a normally distributed random variable and Y=In(5X²). It is known that the meanand standard deviation of X are 10,000 and 20,000 respectively.a) Determine the probability that X exceeds 10,000.b) Determine the value which corresponds to 90% of exceedance probability for X.

Given that is a normally distributed random variable, and .The mean and standard deviation of are…

Answered: Suppose Y is a normally distributed…

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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Suppose Y is a normally distributed random variable and Y=In(5X²). It is known that the mean and standard deviation of X are 10,000 and 20,000 respectively. a) Determine the probability that X exceeds 10,000. b) Determine the value which corresponds to 90% of exceedance probability for X.