Problem 5 You purchase a certain product. The manual states that the lifetime T of the product, defined as the amount of time (in years) the product works properly until it breaks down, satisfies P(T t) = e- for all t 2 0. %3D For example, the probability that the product lasts more than (or equal to) 2 years is P(T > 2) = e- = 0.6703. %3D a. This is an example of a continuous probability model. Write down the sample space S. b. Check that the statement in the manual makes sense by finding P(T > 0) and lim, 00 P(T > t). c. Also check that if t < t2, then P(T >t1) > P(T>t2). Why does this need to be true?
Problem 5 You purchase a certain product. The manual states that the lifetime T of the product, defined as the amount of time (in years) the product works properly until it breaks down, satisfies P(T t) = e- for all t 2 0. %3D For example, the probability that the product lasts more than (or equal to) 2 years is P(T > 2) = e- = 0.6703. %3D a. This is an example of a continuous probability model. Write down the sample space S. b. Check that the statement in the manual makes sense by finding P(T > 0) and lim, 00 P(T > t). c. Also check that if t < t2, then P(T >t1) > P(T>t2). Why does this need to be true?
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
Transcribed Image Text:Problem 5
You purchase a certain product. The manual states that the lifetime T of the product, defined as the
amount of time (in years) the product works properly until it breaks down, satisfies
P(T > t) = e-} for all t > 0.
For example, the probability that the product lasts more than (or equal to) 2 years is
P(T > 2) = e¯† = 0.6703.
%3D
a. This is an example of a continuous probability model. Write down the sample space S.
b. Check that the statement in the manual makes sense by finding P(T > 0) and
lim,0 P(T > t).
c. Also check that if tį < t2, then P(T >t1) > P(T> t2). Why does this need to be true?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 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