The alternative way to travel from Seremban to Kuala Lumpur is by the KTM Seremban to Kuala Lumpur Sentral Commuter Train that operates many trips a day starting from the early morning until the late evening. Every trip takes 1 hour and 25 minutes. It is assumed that the train arrives at Kuala Lumpur Sentral uniformly between 0 and 110 minutes. i) Calculate the probability that the train takes between 40 and 90 minutes to arrive at Kuala Lumpur Sentral. ii) What is the average time taken to travel from KTM Seremban to Kuala Lumpur Sentral?
The alternative way to travel from Seremban to Kuala Lumpur is by the KTM Seremban to Kuala Lumpur Sentral Commuter Train that operates many trips a day starting from the early morning until the late evening. Every trip takes 1 hour and 25 minutes. It is assumed that the train arrives at Kuala Lumpur Sentral uniformly between 0 and 110 minutes. i) Calculate the probability that the train takes between 40 and 90 minutes to arrive at Kuala Lumpur Sentral. ii) What is the average time taken to travel from KTM Seremban to Kuala Lumpur Sentral?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
a) The alternative way to travel from Seremban to Kuala Lumpur is by the KTM Seremban to
Kuala Lumpur Sentral Commuter Train that operates many trips a day starting from the
early morning until the late evening. Every trip takes 1 hour and 25 minutes. It is assumed
that the train arrives at Kuala Lumpur Sentral uniformly between 0 and 110 minutes.
i) Calculate the probability that the train takes between 40 and 90 minutes to arrive at
Kuala Lumpur Sentral.
ii) What is the average time taken to travel from KTM Seremban to Kuala Lumpur
Sentral?

Transcribed Image Text:b) A random variable Y has a probability density function defined as:
-y
1
f(y)=
0<y<∞ .
otherwise
i) Derive the moment generating function of Y.
ii) Find the mean and variance of Y using the moment generating function.
iii) Calculate the value of 0 if given P Y >
= e
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman