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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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

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Question

A teacher travels to work by car and the journey time, t hours, has a probability density
function
[10ct²,
0<t<0.6
fr (t) = {9c(1-t), 0.6<t<1.0
|0,
otherwise
Where c is a constant.
а.
Find the value of c that would make f a valid pdf.
b. Find the probability that the journey time will be hetween 24 and 48 minutes.
Find the expected travel time of the teacher.
с.

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