6.2.2 If (x₁, ..., xn) is a sample from a Bernoulli(0) distribution, where 0 = [0, 1] isunknown, then determine the MLE of 0.6.2.3 If (x₁,...,xn) is a sample from a Bernoulli(0) distribution, where 0 = [0, 1] isunknown, then determine the MLE of 0².

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Answered: 6.2.2 If (x₁,..., xn) is a sample from…

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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The pressure of air (in MPa) entering a compressor is measured to be X = 8.5 ± 0.2, and the pressure of the air leaving the compressor is measured to be Y = 21.2 ± 0.3. The intermediate pressure is therefore measured to be P = √XY = 13.42 . Assume that X and Y come from normal populations and are unbiased. a) From what distributions is it appropriate to simulate values X* and Y*? b) Generate simulated samples of values X*, Y*, and P*. c) Use the simulated sample to estimate the standard deviation of P. d) Construct a normal probability plot for the values P*. Is it reasonable to assume that P is approximately normally distributed? e) If appropriate, use the normal curve to find a 95% confidence interval for the intermediate pressure.
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Q4: Let i denote the mean of a random sample of size 25 from a gamma type distribution with a = 4 and p > 0. Then 1. 1. E(x) = 48 and Var(x) = 48² O True O False 2. I~N (4B, 4B²) 25 2. O True O False
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6.2.2 If (x₁,..., xn) is a sample from a Bernoulli(0) distribution, where 0 = [0, 1] is unknown, then determine the MLE of 0. 6.2.3 If (x₁,..., xn) is a sample from a Bernoulli(0) distribution, where 0 = [0, 1] is unknown, then determine the MLE of 0².