For the continuous random variable X, the probability distribution is given by a(x? + 1) 13x< 4 f(x) = %3D otherwise (a) Find i. The value of the constant a. ii. E(X). iii. Var(X)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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For the continuous random variable X, the probability distribution is given by
a(x? + 1)
f(x) = {
1sx<4
otherwise
(a) Find
i.
The value of the constant a.
ii.
E(X).
iii.
Var(X)
iv.
P(1 sXs 3)
Transcribed Image Text:For the continuous random variable X, the probability distribution is given by a(x? + 1) f(x) = { 1sx<4 otherwise (a) Find i. The value of the constant a. ii. E(X). iii. Var(X) iv. P(1 sXs 3)
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