Refer to Exercise 3.145. Use the uniqueness of moment-generating functions to give the dis-tribution of a random variable with moment-generating function m(t) = (.6e' + .4)³.

We have given that the random variable with moment generating function m(t) = (0.6et + 0.4)3

Answered: Refer to Exercise 3.145. Use the…

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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An electrochemical engineer has manufactured a new type of fuel cell (a type of battery)which has to undergo testing to prove its duration: the time it takes to go from fullycharged to completely uncharged, under a fixed nominal load. From the computational simulation models she has, the variance of the duration is σ2 = 4 h2 (hours squared)but she wants to estimate the mean duration time μ. To achieve this she is determinedto do the tests multiple times in independent but identical conditions. Can you findwhat is the smallest number of these tests that she has to do in order for her estimatedmean duration to be within ±0.2 h tolerance of the true mean with 95% certainty
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Refer to Exercise 3.145. Use the uniqueness of moment-generating functions to give the dis- tribution of a random variable with moment-generating function m(t) = (.6e' + .4)³.