Problem 5. Let X and Y have the joint PDF f(x, y) (2 = 10 for 0<< y <1 otherwise . Compute EXY =y], Var[X|Y = y], P(0

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: 9. 3 If f is continuous and f (u) du = 3, then / (4xf(x²) + f(3x)) dx is equal to

A:

Q: Given f'(x) = 5e* + 8x and f(0) = 2 find f. %3D

A: We are given that f'(x)=5ex+8x and f(0)=2. So,

Q: 3. Find f(x) if f'(x) = sec²x - sinx and f(TT/4) = 1. %3D %3D

A: Given: f'(x) = sec2x -sinx  To find: The value of f(x)  and  fπ4.

Q: If some function f(x) has a relative extrema at the point (c, f(c)), then f'(c) = 0 True False

A: if we want to fine any fuction has relative extrema then

Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: 5 3. Let F(x) /t2 17 dt. Find F'(x)

A: Given:

Q: 0.6z Express the function h(x) = Ve' - 3 in the form h(x) = (ƒ o g)(x) where f(x) # x and g(x) ± x…

A:

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: dx Suppose 10 = x + y' and both y = f(x) and x = g(t). If = 2 when x = 1 and y = 3, %3D dy when x =1…

A:

Q: 5. Let X have the pdf f(x) = 5x¹, 0 < x < 1, zero elsewhere. Find the pdf of Y = - 2ln(X).

A: The random variable X has the pdf given below: fx=5x4,   0&lt;x&lt;1 The transformed variable is…

Q: Death row and the single-sample t test: The Florida Department of Corrections publishes an online…

A: Solution a. The following data is provided in the question 25.62, 13.09, 8.74, 17.63, 2.8, 4.42,…

Q: Descibe the difference between the null hypothesis and alternative hypothesis. How do we denote each…

A: In this question we have to explain the difference between null and alternative hypothesis and also…

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: let p(x)=g(f(x)). use the given table to find p'4

A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

Q: Suppose F(8) = 5, F(9)= -23, and - 9 f6f (x) d Your Answer: Answer dx= F'(x) = f(x).

A:

Q: What are the conditions to satisfy to conduct a one-sample t-test for the population mean

A: Determine the conditions that used to satisfy to conduct the one-sample t-test for the population…