A continuous random variable X is defined by (3+x)² f(x) = - 3 SxS-1 16 (6 – 2r) -15xS1 16 (3-x') -15x53 16 (a)Verify that f(x) is density. Explain (b)Find the Mean
A continuous random variable X is defined by (3+x)² f(x) = - 3 SxS-1 16 (6 – 2r) -15xS1 16 (3-x') -15x53 16 (a)Verify that f(x) is density. Explain (b)Find the Mean
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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Answer Problem 1 only, disregard the other problems.
Kindly express final answers in FRACTION FORM and also SIMPLIFIED FORM for me to review how to arrive in that kind of answers.
It is a requirement in our subject to arrive in both finals answers as FRACTION AND SIMPLIFIED FORM.
Thanks!
![Problem 1.
A continuous random variable X is defined by
(3+x)²
16
f(x) =
- 3<xS-1
(6- 2)
16
(3-r)
16
-13x<3
(a)Verify that f(x) is density. Explain
(b)Find the Mean
Problem 2
If the probability density function of random variable is given by
f(x) = sinh 2x
(a) Find the mean
(b) Find the total area
(c) Illustrate the graph ( use Bell shaped figure)
Problem 3
If the probability density function of random variable is given by
f(x) = ech x
(a)Find the mean
(b)Find the total area](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F175c1c9e-482d-466e-8eb8-ac9ff3d0d635%2F0016e098-12fe-4c32-86f8-cb8b0b965a98%2F88ld5rb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1.
A continuous random variable X is defined by
(3+x)²
16
f(x) =
- 3<xS-1
(6- 2)
16
(3-r)
16
-13x<3
(a)Verify that f(x) is density. Explain
(b)Find the Mean
Problem 2
If the probability density function of random variable is given by
f(x) = sinh 2x
(a) Find the mean
(b) Find the total area
(c) Illustrate the graph ( use Bell shaped figure)
Problem 3
If the probability density function of random variable is given by
f(x) = ech x
(a)Find the mean
(b)Find the total area
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