The joint PDF of X and Y is given as 0

Q: Is f(x)= Vx + 1 continuous at x == -1

A: Draw the graph and check continuty with help of limit of function.

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: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

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: 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: Differentiate the function. = In({ (4t+ 1)³ (4t-1)5 F'(t) = F(t) = In

A: The derivative of the function in the division form is given by the quotient rule which is given by-…

Q: Find the derivatives of the functions in Exercis

A: The given function is q=2r-r23.

Q: 4) The median of the pdf f (x) = x 1,2,3, .7 is equal to 5 a. True b. False 5) The value of the…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: (b) Use R to plot the pdf and df of X on the same graph.

A: Since, pdf of X is:- f(x) = 6x(1-x),   0≤x≤1 and, cdf of X is:- F(X) = 3x2 - 2x3,  0≤x≤1

Q: Find the linear approximation to the function f(x, y) = sin y --- |T at x, = (1, -2) 2 and use it to…

A: The solution is given as

Q: Find f(1, 3) and f,(1, 3) for the function f(x, y) = 2x'y² + 2y +4x.

A: Given function is f(x,y)=2x3y2+2y+4x find fx1,3 and fy1,3

Q: Let f(x) = xV*. Find f'(9).

A:

Q: The joint pdf of Y, and Y, is given by (a) ,with support (b) , and 0 elsewhere. (a) 1/y2; (b) 0 < y…

A:

Q: Prove that dl = (Vu) x (Vv) - do.

A:

Q: if r'y-- 2y + 1.

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: The function(x)= is concave down on which interval?

A: Given: f(x)=1x2+1

Q: Normalize (z) = 3f2(x) +2f3(x). You can think of functions being 0 beyond the [0, L] interval, where…

A: Simple Linear Scaling:If f2(x) and f3(x) are linear functions that map the [0, L] interval to [a, b]…

Q: Let f and g be functions differentiable on R. with Find f(x)|x=2= d g(2) = 2, 9(x)\x=2 = 4, de…

A:

Q: Let I,"Erpi). f(x) = pe"1>0 IIN, -4.Find the pdf of (a) r(m.B) (b)[(1, B) (e )r(m, nB) (d) exp(nB)…

A: X~ exp(β) We want find the pdf of  Y=∑X ~ ?

Q: please give step by step answer.   let X have the PDF fx(x)={X^3/4,0<x<2 0,elsewhere a)let Y=X^2…

A: The problem can be solved using the concept of pdf. please find step by step solution below.

Q: Let f(x, y) : = x/Y Evaluate f(3, 4)

A: We need to evaluate f(3,4) To evaluate we need to plug in 3 for x  and 4 for y

Q: Let f(x, y) = e"r³ Evaluate f(3, 0)

A: The function of two variables  x and y will be of the form,   The function value of this kind of…

Q: Find a local linear approximation for the function f(x)=2x+8/x−2 valid for x near 3  2x+8/x−2≈

A: Linear Approximation: The formula for the local linear approximation of a function fx is given by,…