1. A continuous random variable X is defined by (3+x) 16 (6-2r) 16 - 3sxs-1 -1sxsl f(x) (3-x) -1sxs3 16 a. Verify that f(x) is density. Explain b. Find the mean 2. If the probability density function of random variable is given by f(x) = 1sxs2 sech x a. Find the mean b. Find the total area 3. If the probability density function of random variable is given by f(x) = sinh 2x 1sxs2 a. Find the mean b. Find the total area c. Illustrate the graph (use bell shaped figure)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1. A continuous random variable X is defined by
(3+x)
f(x)
- 3sxs-1
%3D
16
(6-2r)
-1sxs1
16
(3-x)
-1sxs3
16
a. Verify that f(x) is density. Explain
b. Find the mean
2. If the probability density function of random variable is given by
f(x) = wch
1srs2
sech x
a. Find the mean
b. Find the total area
3. If the probability density function of random variable is given by
f(x) = sinh 2x
1sxs2
a. Find the mean
b. Find the total area
c. Illustrate the graph (use bell shaped figure)
II
II
Transcribed Image Text:1. A continuous random variable X is defined by (3+x) f(x) - 3sxs-1 %3D 16 (6-2r) -1sxs1 16 (3-x) -1sxs3 16 a. Verify that f(x) is density. Explain b. Find the mean 2. If the probability density function of random variable is given by f(x) = wch 1srs2 sech x a. Find the mean b. Find the total area 3. If the probability density function of random variable is given by f(x) = sinh 2x 1sxs2 a. Find the mean b. Find the total area c. Illustrate the graph (use bell shaped figure) II II
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