can you please answer this in a detailed way. thanks.2. Let X be a random sample of size n from (u1,07) and let Y be a random sample ofsize m from N(u2, o3) where X and Y are independent. Determine the distribution of each of thefollowing:Y - P2(a)Sy/Vm(b)assuming of = o(X Y) ( - u2)(c)m(X - Y)- (M1 – 42) where s2 is the pooled variance(d)1

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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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Let X1...., Xn be a random sample of size n from an infinite population and assume X1 d= a + bU2 with the constants a > 0 and b > 0 unknown and U a standard uniform distributed random variable given by FU (x) := P(U ≤ x) =    0 if x ≤ 0 x if 0 < x < 1 1 if x ≥ 1 1. Compute the cdf of the random variable X1. 2. Compute E(X1) and V ar(X1). 3. Give the method of moments estimators of the unknown parameters a and b. Explain how you construct these estimators!
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