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d) Suppose Trevor must leave at or before 7:30 to be on time for work. If Trevor leaves as soon as he finishes getting ready, what is the probability Trevor arrives late to work?

d) Suppose Trevor must leave at or before 7:30 to be on time for work. If Trevor leaves as soon as he finishes getting ready, what is the probability Trevor arrives late to work?

MATLAB: An Introduction with Applications
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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1. Trevor always wakes up at 7:00 am, but the time it takes him to get ready for work varies. Let X denote the number of minutes Trevor takes to leave for work, where X has the following pmf: 5 15 30 35 55 f(x) .15 .35 .30 .15 .05 a) Verify that f(x) is a valid pmf. b) Find the expected amount of time Trevor takes to get ready for work. c) Find Var(X). d) Suppose Trevor must leave at or before 7:30 to be on time for work. If Trevor leaves as soon as he finishes getting ready, what is the probability Trevor arrives late to work?
Transcribed Image Text:1. Trevor always wakes up at 7:00 am, but the time it takes him to get ready for work varies. Let X denote the number of minutes Trevor takes to leave for work, where X has the following pmf: 5 15 30 35 55 f(x) .15 .35 .30 .15 .05 a) Verify that f(x) is a valid pmf. b) Find the expected amount of time Trevor takes to get ready for work. c) Find Var(X). d) Suppose Trevor must leave at or before 7:30 to be on time for work. If Trevor leaves as soon as he finishes getting ready, what is the probability Trevor arrives late to work?
Expert Solution
Step 1

HERE GIVEN  PMF  OF X

X = no. of minute trevor takes to leave for work 

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