a)Let X₁, X₂, X3,..., Xn be a random sample of size n from population X. Suppose that X followsan exponential distribution with parameter 0 and Y = = =1X₁.b)iv) Use the Central Limit Theorem to compute P(100 < Y < 115), for n = 40.Let X₁, X2, ..., X5 be a random sample of size 5 from the standard normally population. If thestatistic Y is given byY =X₁-X₂-X3X₁²+X3²+X5²i) Briefly explain why Y follows a Student's t distribution with 3 degrees of freedom.ii) Compute the probability that Y is between 2.35 and 5.84.iii) What is the mean and variance of the statistic Y?

It is given that X1, X2, .....,Xn follows Exponential(θ). Note : Since you have asked multiple…

Answered: a) Let X₁, X2, X3,..., X, be a random…

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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a) Let X₁, X2, X3,..., X, be a random sample of size n from population X. Suppose that X follows an exponential distribution with parameter and Y = ²₁X₁. 84i=14 iv) Use the Central Limit Theorem to compute P(100