Verify that f(x) is a valid pmf. Find the expected amount of time Trevor takes to get ready for work Find Var(X).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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

It is given that

X = number of minutes Trevor takes to leave for work.

Note : According to our guidelines we are solving only first three sub parts if a question and the rest parts may be reposted.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman