Consider the probability density function 0 if x < -2 f(x) = { / (8 + 2x −x²) if -2 ≤ x ≤ 4 36 Find Var(X). Select one: an 19 5 81 25 171 25 0 if x > 4.

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Q: Consider the probability density function 0 if x 1.

A: Given,the probability density function of X isf(x)=0if x&lt;012if 0≤x≤132x4if x&gt;1

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A: The given probability density function is as follows:

Q: 4r3 0 <x<1 fx(x) = %3D otherwise

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Q: Consider the probability density function if x 1. 2x4 Find E(X). Select one: | -IN -|0 O O O O

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A: Given that  Probability density functions of X  f(x)=k(4x-x2)  , 0&lt;x&lt;3 f(x)=0     , x&lt;0 ,…

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Q: Consider the probability density function 0 if x 1.

A: Given,the probability density function of X isf(x)=0if x&lt;012if 0≤x≤132x4if x&gt;1

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A: The pdf of the continuous random variable X is  - .To,find the value of ,, and .

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Q: Consider the probability density function 0 if x 4.

A: Given information f(x)=1/36(8+2x-x2); -2≤x≤4  Find  Pr(X≤2|x≥0)=?

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A: Discrete Variable - The random variable which take distinct values. Continuous variable - Variables…