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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill