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The length of life X, in days, of a heavily used electric motor has probability density function -3x X20 f(x) = {0, otherwise Find the probability that the motor has at least 1/2 of a day, given that it has lasted 1/4 of a day. Find the mean and the variance for X.

The length of life X, in days, of a heavily used electric motor has probability density function -3x X20 f(x) = {0, otherwise Find the probability that the motor has at least 1/2 of a day, given that it has lasted 1/4 of a day. Find the mean and the variance for X.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The length of life X, in days, of a heavily used electric motor has probability density function f(x) = {0, -3x S3e x20 %3D otherwise Find the probability that the motor has at least 1/2 of a day, given that it has lasted 1/4 of a day. Find the mean and the variance for X.
Transcribed Image Text:The length of life X, in days, of a heavily used electric motor has probability density function f(x) = {0, -3x S3e x20 %3D otherwise Find the probability that the motor has at least 1/2 of a day, given that it has lasted 1/4 of a day. Find the mean and the variance for X.
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