For a certain random variable X it is known that E[X]=2, Var(X)=3. What E[x']?

Q: 1. Suppose that the random variable X has the pdf given by T(a+B) pa-1(1 – x)ª-1 Г() f(x) = for 0 <…

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Q: 6. Let X be a random variable having pdf :{ (a) (b) (d) fx(x) = A exp{-X(x-μ)} 0 Show that fx(x) is…

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Q: Let X and Y be statistically independent random variables with Var(X) = 4 and Var(Y) = 10. We do not…

A: The provided information is as follows:. and  are independent random variables..

Q: Let X1,..., Xn be a random sample from a uniform distribution on the interval [20,0], where 9 0. Let…

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Q: = 6. The lifetime, in years, of an air compressor is an exponentially distributed random variable T…

A: Given: If compressor is defective, the lifetime Td has mean μ=0.1 If compressor is not defective ,…

Q: (a) Let X be a random variable with PDF ƒ(x) = 1−|x|, |x| ≤ 1. Obtain the MGF of X. (b) Find the PDF…

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Q: Estimate Af. Use a calculator to compute the error and percentage error. Af = f'(a)Ax f(x) = V1+x a…

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Q: Let f(x)= 1. f'(3)= 2. f'(6)= = 4 VT Evaluate each of the following:

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Q: Suppose that Y₁ = 0.5, Y₂ = 0.6, Y3 = 0.2, Y4 = 0.7 and Y5 = 0.6, represents a random sample. Each…

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Q: What is the mean (E[X]) of the following statistical function? f(x)=c*(x)^9 from 0 to 9 and f(x)=0…

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Q: 3. Suppose that h(x) is the hazard function of X, and h(x)=\ for all x. (a) Calculate the survival…

A: To calculate the survival function S(x) when the hazard function h(x) is constant (i.e., λh(x)=λ for…

Q: 8) Can the following function f(x)=e* be normalized over the function 0<x<∞? Explain your answer.…

A: A function f is said to be normalized over a&lt;x&lt;b , if it satisfy the following condition…

Q: Suppose that P(A)=0, P(C|A) =0.006, and P(C'|A')=0.0055 Find P(A∣C).

A: GivenP(A)=0P(C|A)=0.006P(C'|A')=0.0055

Q: 5. If f(x) = 2x² e*, find ƒ '(1).

A: Explanation of the answer is as follows

Q: 10. Find the Mean and Variance of k. f(x) = kx ;0<xs2, f(x)=0 elsewhere. (a) CRV (b) Mean = ["…

A: properties of pdf is ∫f(x)dx=1