2 (25') The continuous type random variable X has pdf for 0 < r< 4; fx(x) = { 0, elsewise. (a) Determine the value of c. (b) Find E[X] and Var[X]. (c) Find the probability P[X > 1].

Q: 2. Identify the probability density function, then find the mean and variance without integrating.…

A:

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A: f(x)=3x2; 0&lt;x&lt;1

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A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

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A: F(x,y) : { (x+y)/42 ; x=1,2,3 y=1,2  ; 0 elsewhere } Mean : E(X) = sum(x*P(x))

Q: 68. Let X be a continuous random variable with pdf (a) Find the pdf for Y = √X. (b) Find the pdf for…

A: Pdf of X is fx(x)=3x2 ,0,&lt;x&lt;1

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A: Given,f(x)=ax+b   ;  0≤x≤1E(X)=23

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A: Solution

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A: It is an important part of statistics. It is widely used.