For X and Y continuous, P(X = x|Y = Y) = O 1 O 1/2 O P(X = x) P(Y = y)

Q: f(x) = x2 - 1 for the interval of [0,2]

A: To find the area of under curve on [0, 2] Given the function f(x) = x2 -1

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E…

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose…

Q: The function F(x) : te dt is cocave down for all x > 0.

A: Proceed as shown below...

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1t, 2nd and 3rd…

A:

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: 9. If f is continuous and | f(x) da = 3, find æf(x?) dx.

A: We have to evaluate the given definite integral using the other definite integral.

Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

A:

Q: If f is continuous and f(x) dx = 12, find So f(2x) dx.

A: Given that To find

Q: 36 6. If f is continuous and f(x) dx = 2, find xf(x²) dx. %3D

A:

Q: following table. Procurement Cost($) 10 11 12 on is Probability 0.25 0.45 0.30 Labor Cost ($) 20 22…

A: Given data: Procurement cost Probability Labor cost Probability Transportation cost Probability…

Q: Let f(x) = 3x² + 4x. Evaluate dy when x=4 and dx=0.1

A:

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js -0.15 A) 0.15 B) C) - 0.8 0.8…

A: We will find out the required value.

Q: show that F(X<1|Y<y) + P(X <1) for some z, y.

A: dependent events:  Two or more events are said to be dependent if occurrence of one affects the…

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: C. Is the function define by g(x) = x² – sin x + 5 continuous at x = n?

A:

Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-¹/² O A. 1 B.-1 O C. -1/2 D. None of…

A: