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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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:
´ 1
e*/so0,
500
x > 0
f(x) =
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)

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