eisewhere (a) Check X and Y for independence (b) are f (x/y) and f (y/x) are valid Pdfs.

Q: What is the gradient of the function f(x) = -x² %3D A -x? E -2x C 2x H -1 1

A:

Q: TRUE / FALSE) For two pdfs f(x) and g(x), f(x)g(x) is a pdf.

A: Solution

Q: How do u do this proportionally?

A:

Q: Pr[A U B] = 0.90, Pr[A] = 0.70 and Pr[B|A] = 0.40. Find Pr[B].

A: Given data, P(A U B)=0.90 P(A)=0.70 P(B|A)=0.40 P(B)=?

Q: Find the mean value of the function f(X,Y)= X² + y².

A:

Q: 4. h(x) = x+ 1

A: INVERSE FUNCTION If the input a of f  yield output b, then the inverse of the f yield a as output…

Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True…

A: We have given that the statement about to the probability density function (pdf) f(x).

Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

A:

Q: Pr[A u B] =0.80, Pr[A]=0.10 and Pr [B | A]=0.30. Find Pr[B]

A: Solution: Given information: P(A∪B)= 0.80 PA)= 0.10 P(B|A) = 0.30

Q: Is the following statement true or false? Let f(x) = e- if a 21 and f(x) = 0 if x < 1. Then f(x) is…

A: Given function is f(x) = e-xifx≥10ifx&lt;1

Q: The drag coefficient in aircraft industry affected by some parameters which are the speed of plane…

A: The reynols number is Re Re is ration of inertia force and viscous force. Then the formula is,

Q: Find f, and f, and evaluate each at the given point. ху f(x, у) %3D X - y (3, -3) f,(x, y) = %3D…

A:

Q: Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.

A: Write the integration using two parts

Q: Let u and v be the linear functions defined asu(x)=2x+3,v(u)=3x-2.Find the compositions u*v and v*u.…

A: For uov, we do u(v(x)), and for v o u, we do v(u(x)) .

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf 0 < x < 1 X, fx(x) = 0, otherwise.…

A:

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(x, y) = (- (3x + y))'. Then %3D drðy af

A:

Q: Determined whether the given function is linearly independent or dependent on (-00, c0) f.(x) = x,…

A:

Q: Can you find the linearization L(x) of the function at a.

A: We first find the first order Taylor polynomial centered at ( a = 4), which is given by:…