Which of the following is equal to Cov (X + Y, 2X – Y), where X and Y are random variables on a sample space S ? (a) 2Var (X) – Cou (X, Y) – Var (Y) (b) 2Var (X²) + Cou (X, Y) – Var (Y²) (c) 2Var (X) – Cov (X, Y) + Var (Y) (d) 2Var (X) + Cov (X, Y) – Var (Y) - (e) None of the above

Q: 17. Evaluate V|r|3 A. rr В. 2rr C. 4rr D. 3rr

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Q: 1A-(구) -1 1 Then, ||A||1= 1 -2 Let A =

A:

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: * Evaluate. 2t |4 + et| dt

A: Solution :-

Q: A = 1 1 1 is similar to B= 1 3 3 133 Select one: O True False

A: We have to check

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Use the figure below for problems 24-31. 7 501 350° 4. 24 40 130° 43 8. 24) Find mZ1. 50° 25) Find…

A: Solution : We have given a diagram and by using the given diagram we have to find out the measure…

Q: 3. Find. all.thethird..partial...devivatives. Xy Z a b

A: We need to find all the third partial derivative of the following functions- a. f(x,y,z)=exyzb.…

Q: Is the following a linear combination of 0. A = B = ? -9 5 10 12 O No O Yes

A: Given  A=50-3-2,  B=1-123,  C=0313

Q: Then using Euler's method, the approximation of the solution at t=0.2, that is, y(0.2)=0.9 Select…

A:

Q: -4 c4x Evaluate . So S dydx.

A:

Q: What is the difference of (e+fi)-(g+hi)

A: To find the difference of (e+f i ) -(g + h i )

Q: A = 8 9 -9 -1 7 -2 -7 4 -3

A:

Q: Show that (A¹)¹ = A for: A 4 3 3 2

A:

Q: 3 If A = - 1 Then ||All = -2 4 Select one: а. 3 b. 6 C. 5 d. 4

A:

Q: the slop of the line (2y - 4x - 7 = 0) is * O-2 4 2. O 7 4

A: Slope of the line

Q: Which of the following are trees and which are forests? D E N A: Is a forest DA: Is a tree F I G 0 B…

A: Tree: A graph is called tree if there is exactly only one path between every two vertices .Result:A…

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

A:

Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

Q: 3 -1 -2 4 If A= Then ||A|l = Select one: а. 6 b. 5 c. 4 d. 3

A:

Q: Consider the frames o X Y Z and o XYZ shown in the 0000 1111 figure. Find the rotation matrix Rº. xo…

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Q: If A = 0 . 0 -3 -1 -9] -6 3 4 ܘ ܒ ܘ ܗ then det (A) = ܗ ܐ ܘ

A: Given Matrix

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: The midrange of the following is 6, 3, 2,8, 4, 1 Select one: а. 4 O b. 4.5 с. 7 d. 3.5

A:

Q: -1 1 Let A= 1 -2 Then, |A|l2= ) Select one: a. 8+45 b. 10+45 C. 9+45 7+/45 2.

A: We can solve for the given matrix using the formula for second norm of a matrix

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: 1 -2/ -1 1 Let A = Then, ||A||2 = Select one: а. 7+45 2 O . 8+V45 2 C. 10+V45 2 d. 9+V45

A:

Q: Is x and y independent?

A: Given ,the joint probability density function (pdf) of (X,Y) isf(x,y)= Marginal pdf of X is =…

Q: If B = 1 1 01 2 2 -1 1 1 then det (B5) =

A:

Q: -1 1 Then, ||A||2 = 1 -2 Let A= Select one: a. 9+45 O b. 7+45 2 8+/45 2 d. 10+45

A:

Q: Let A = and B = . Find the following. а. 2А+B b. || A|| с. А о В

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A: We are using integration after decomposing it into partial fraction form

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A: Finding the product of matrices.

Q: If a = (2, 4, – 1, 3) then ||-3a|l,= Select one: а. 30 b. -30 c. 27 d. -27

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.