Answer Problem 1 only, disregard the other problems in the picture. Please express answers in fraction and simplified form only. thank you
Answer Problem 1 only, disregard the other problems in the picture. Please express answers in fraction and simplified form only. thank you
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 in the picture.
Please express answers in fraction and simplified form only. thank you.
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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