The proportion of flour, X, that Penny forgets to put into a pie crust, X, has the following probability density function: 5.(1-x4) for 0 ≤ x ≤ 1 and 0 otherwise. f(x)= a) What is the probability that X > 0.6? b) What is the probability that X < 0.6? | c) What is the probability that 0.13 < X < 0.34?
The proportion of flour, X, that Penny forgets to put into a pie crust, X, has the following probability density function: 5.(1-x4) for 0 ≤ x ≤ 1 and 0 otherwise. f(x)= a) What is the probability that X > 0.6? b) What is the probability that X < 0.6? | c) What is the probability that 0.13 < X < 0.34?
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
Pleas ecomplete all questions and show work
Transcribed Image Text:The proportion of flour, X, that Penny forgets to put into a pie crust, X, has the following probability density function:
f(x)= 5-(1-x) for 0 ≤x≤ 1 and 0 otherwise.
a) What is the probability that X > 0.6?
b) What is the probability that X < 0.6?
c) What is the probability that 0.13 < X < 0.34?
d) What is the expected value of X (E(X))?
e) What is the expected value of X - 3?
f) What is the expected value of 3X?
g) What is the expected value of x²?
h) What is the probability that X is greater than its expected value?
i) What is the expected value of X4+2X-1 ?
j) What is the 60th percentile of X?
k) What is the probability that X is within 0.1 of its expected value?
1) What is the probability that X = 0.5?
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 5 steps with 4 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Please complete the rest of the following questions:
d) What is the
e) What is the expected value of X - 3?
f) What is the expected value of 3X?
g) What is the expected value of X2 ?
h) What is the probability that X is greater than its expected value?
i) What is the expected value of: X4+2X−1 ?
j) What is the 60th percentile of X?
k) What is the probability that X is within 0.1 of its expected value?
l) What is the probability that X = 0.5?
Solution
by Bartleby ExpertRecommended 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