1. Consider the function -a2 + 7.98x – 12.716. a. Normalize it so that it is a PDF on [2.20, 5.78]. b. If that is the PDF for a random variable X, what is the probability that X < 4.67?
1. Consider the function -a2 + 7.98x – 12.716. a. Normalize it so that it is a PDF on [2.20, 5.78]. b. If that is the PDF for a random variable X, what is the probability that X < 4.67?
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. Consider the function -x² + 7.98x – 12.716.
a. Normalize it so that it is a PDF on [2.20, 5.78].
b. If that is the PDF for a random variable X, what is the probability
that X < 4.67?
2. Consider the function In x.
a. Normalize it so that it is a PDF on [2.80, 6.76].
b. Compute the expected value of the PDF on that interval.
c. Compute the variance of the PDF on that same interval.
3. Consider the function e-x/116.0.
a. Normalize it so that it is a PDF on [0, 0).
b. Compute the formula for xa.
c. What is the VAR when a =
0.95?
d. What is the ETL for that same a?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96000a22-0ba0-4dae-a66b-917bb18a760e%2Fbe9f3cec-543b-44fc-9072-e16419eed964%2Flf5zsft_processed.png&w=3840&q=75)
Transcribed Image Text:1. Consider the function -x² + 7.98x – 12.716.
a. Normalize it so that it is a PDF on [2.20, 5.78].
b. If that is the PDF for a random variable X, what is the probability
that X < 4.67?
2. Consider the function In x.
a. Normalize it so that it is a PDF on [2.80, 6.76].
b. Compute the expected value of the PDF on that interval.
c. Compute the variance of the PDF on that same interval.
3. Consider the function e-x/116.0.
a. Normalize it so that it is a PDF on [0, 0).
b. Compute the formula for xa.
c. What is the VAR when a =
0.95?
d. What is the ETL for that same a?
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