For the following joint pdf, find: (a) E[X], (b) E[XY], (c) Cov(X, Y). x f(x,y) 5.1 5.9 6.7 1.1 0.08 0.15 0.09 1.4 0.1 $0.11 0.12 1.7 0.13 0.14 0.08 Y

Q: 30. h(w): = w² - 1 w² +1

A:

Q: Let f(x) = | 1°dt. Evaluate the following. f'(x) = f'(-6) =

A: ∫xn dx   xn+1 /n+1 + C f(x) = ∫x0 t6 dt       = [t7/7]x0   f(x) = x7/7

Q: Exercise, find the higher-order derivative. Given Derivative S(x) = 3x2 + 7x + 1 %3D

A: First differentiating with respect to x to get f'(x) then again differentiating with respect to x to…

Q: Find S xJ3(x)d

A:

Q: Determine the value of b to make the PDF below valid given that a=1and c=2. Note that the PDF…

A: #Given: pdf of exponential distribution  f(x)=b*e^-c(x-a)  if a=1 , c=2  then to find value of a ?

Q: Let g(u) be a function such that f g(u) du = ln (1 + 8u²) + C. Evaluate fxg(x²) dx.

A: This question can be solved using the concept of integration by substitution and definite integrals.

Q: dx (x+3)(2x-1) 3. S

A:

Q: Please help

A:

Q: Exercise, find the higher-order derivative. Given Derivative SK) = 3x2 + 7x + I

A: In given question , concept of derivative is used. Derivative The derivative expresses the rate of…

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: Step 1: Step 2: Step 3:

Q: r(4) = S e 2

A:

Q: Let​ f(t) be the temperature of a cup of coffee t minutes after it has been poured. Interpret…

A: Given, temperature of coffee at t minutes is f(t). Temperature at 9min, f(9) = 110 degree f'(9) =-7…

Q: Exercise, find the higher-order derivative. Given Derivative s(x) = 3x2 + 7x + 1 %3D

A: Introduction :

Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

A:

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: Suppose a car’s value depreciates according to the model V(t)=24(4/5)t Find the exact value of r…

A:

Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: Find, to three decimal places, the value of x such that e−x = x.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: For the following continuous joint PDF, nd: E(X). 8.123x5 (y²+3)8, for 0.2 < x < 0.3, and 0.4 < y <…

A:

Q: For the following joint pdf, find: (a) E[X], (b) E[XY], (c) Cov(X, Y). x f(x,y) 1.1 Y 1.4 1.7 5.1…

A:

Q: Exl. suppose the pdf of r.v. X is [x/8, 0<x<4 fx(x)= {*/8, 0<r<4 . Find the pdf of Y =-2X +8. 0,…

A: Y= - 2X + 8, we have dydx= - 2⇔ dx =-dy2and 0&lt;x&lt;4 ⇔ -8&lt;-2x&lt;0 ⇔0&lt;-2x+8&lt;8⇔…

Q: f(x) = Vx for x E [16, 100], find the value of c E (16, 100) which satisfies the mean value theorem.…

A: We have to use mean value theorem here.

Q: Let X have the pdf f(x)= ce-2(x-1)", -0<x<. What is the value of c?. Select one: a. 0.4358 b. 0.7979…

A:

Q: x C C X y X Find the derivative for the function f(x): || || = = 5 | 5 5 x2 X 1 5x2 1 5x2

A:

Q: Let X have the pdf 1 p(x) = T(1+ a2)' x E R. %3D Find the pdf of Y = X?.

A:

Q: Given the following function, what is h' (p)? Treat X, T, and Z as constants. h(p) = 4X³ · (Tp + Z)

A: h(p)=4X3.(Tp+Z) find h'(p)

Q: dx 4. [(x-1)2+1]2

A:

Q: Let f(t) = 201·(1.002)12·t.  Find f(7).  Round your answer to 2 decimal places.

A: