An inverse Gaussian distribution with mean μ and variance μ has thedensityP { - 12/2 (2-μ)²}flf(x; μ) =√2nx³expx > 0.(a) Determine 2 different Laplace approximations for μ.(b) Which one is better. Explain why.

This question is about determining two different Laplace approximations for the mean (μ) of an…

Answered: An inverse Gaussian distribution with…

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 CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with = 2.1. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 56.0. watts (b) Compute a 95% CI for μ when n = 100 and x = 56.0. watts (c) Compute a 99% CI for μ when n = 100 and x = 56.0. watts (d) Compute an 82% CI for μ when n = 100 and x = 56.0. watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n =
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A CI is desired for the true average stray-load loss (watts) for a certain type of induction motor when the line current held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 59.1. watts (b) Compute a 95% CI for when n = 100 and x = 59.1. watts (c) Compute a 99% CI for μ when n = 100 and x = 59.1. watts (d) Compute an 82% CI for when n = 100 and x = 59.1. watts (e) How large must n be if the width of the 99% interval for is to be 1.0? (Round your answer up to the nearest whole number.) n =
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.1. (Round your answers to two decimal places.)

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An inverse Gaussian distribution with mean and variance has the ƒ (2₁A)=√xp{-12-2 (2-1)²} f(x;μ) density x > 0. (a) Determine 2 different Laplace approximations for μ. (b) Which one is better. Explain why.