Verify that f(x) is a pdf. Find E X and Var X.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let X have the pdf
f(x) =
4
β
3√π
x
2e
−x
2
⁄β2
, 0 < x < ∞, β > 0.
a. Verify that f(x) is a pdf.
b. Find E X and Var X.
![Let X have the pdf
* /s°,
4
-x2
f(x) :
x²e
0 < x < 0, B > 0.
%3D
a. Verify that f (x) is a pdf.
b. Find E X and Var X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe22e121c-084b-4099-9d33-9321e97092ce%2Ff51606b0-8224-4048-9c55-3d535aabf4c4%2Fweedzc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X have the pdf
* /s°,
4
-x2
f(x) :
x²e
0 < x < 0, B > 0.
%3D
a. Verify that f (x) is a pdf.
b. Find E X and Var X.
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