Determine k, so that ƒx,y(x, y) (x,y) =. a) Determine fylx=.25(0.5) b) Determine E[X] c) Determine Var[X] kx 0 0

Q: \S(cos x)dx = 0 %3D

A: Let us consider f is continuous even function. Let f=x2 So, fcosx=cosx2=cos2x…

Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2) for…

A:

Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx? (4 -x), 0 <x < 2 (x) %3D…

A: f(x)=Kx2(4-x) ,      0&lt;x&lt;20,            otherwise

Q: Find the linear approximation of the function f(x) = VI - x at a = 0 and use it to approximate the…

A:

Q: 2) Find a value of c for which f (x) is a pdf on the f(x) = cx + x², [0. 1]

A: Introduction ∫-∞∞fxdx=1 The total area under the curve fx of pdf is 1.

Q: 1. Evaluate: 1 1+x 2. Find Fa) given f'a)=3Sinx-4e*, FET)=4e"

A:

Q: Suppose that the p.d.f. of X is as given f(x) = 3(1-x)2 for 0<x<1 and 0 otherwise Find the pdf of…

A: If Y=g(X) is the transformation then the PDF of Y is given by; fY(y)=fX(g-1(y))ddyg-1(y)

Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx (2-x), 0<x <3 f(x) = 0,…

A: Given : The pdf of random variable x is : f(x)=Kx2(2-x),0,x&lt;30,elsewhere We want to find value of…

Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx2(2-x), 0<x <3 0 <x f(x) =-…

A: It is given that, x be the amount of claim with pdf fx = Kx2 2-x,0&lt;x&lt;30,elsewhere

Q: Assume ƒ is a continuous on [2, 4],, and ƒ(2)= 4. Evaluate ƒ(4).

A: we have been given that f is continuous on [2,4] and f(2)=4. we have to evaluate f(4). the given…

Q: d dx y' z' y" z"

A:

Q: a red coin as a 1 on one side and a 3 on the other. a blue coin has a 0 and 1. let X represent the…

A: Given Red coin→ 1,3 Blue coin→ 0,1 X→ Total of both coins Y→ No. flipped on the blue coin

Q: Determine the signs of f' and f" for each of the intervals. y = f(x) A Bc'D'E'F'G

A:

Q: Differentiate the function. P'(W) = P(w) = 6w² - 4w+2 √w W

A: To differentiate the following function.

Q: Consider the graph of f', the derivative of f, that is given below. Use it to answer the following…

A:

Q: Find the MOM for θ.

A: Let X1, X2, ............, Xn are iid random variables with pdfTo find the moment estimator of the…