The lifetime (in hours) of a 80-watt lightbulb that is manufactured by an electrical company, is assumed to be modeled using the following probability distribution function: e */s00, x > 0 f(x) = {500 0, elsewhere (a) What is the name of this distribution and how long (in hours) a lightbulb is expected to function? (Hint: you can simply find the expected value by just looking at the function) (b) What is the probability that a lightbulb lasts at most 450 hours? (c) What is the probability that among five randomly selected lightbulbs, at least three last at most 450 hours? (Hint: you need to get help from a different probability distribution and appendix table to be able to solve this. You also need your answer in part b. You can round your answer in part b to find the closest value in the new distribution table)

The lifetime (in hours) of a 80-watt lightbulb that is manufactured by an electrical company, is assumed to be modeled using the following probability distribution function: e */s00, x > 0 f(x) = {500 0, elsewhere (a) What is the name of this distribution and how long (in hours) a lightbulb is expected to function? (Hint: you can simply find the expected value by just looking at the function) (b) What is the probability that a lightbulb lasts at most 450 hours? (c) What is the probability that among five randomly selected lightbulbs, at least three last at most 450 hours? (Hint: you need to get help from a different probability distribution and appendix table to be able to solve this. You also need your answer in part b. You can round your answer in part b to find the closest value in the new distribution table)

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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