The random variables X and Y represent the number of vehicles that arrive at two separate street corners during a 1 certain period in the day. The joint distribution is f(x,y) = +) ( (a) Give E(X), E(Y), Var(X), and Var(Y). (b) Consider Z= X+Y, the sum of the two. Find E(Z) and Var(Z). (a) E(X)= (Simplify your answer.) 25 36 , for x =0,1,2,... and y = 0,1,2,....

Q: x2 +4 y" + -y! ? y=x | x2

A:

Q: 3x + y= 6 1. |2x–2y=-4] (a) If your answer is (1,3) draw the following hat. |(b) If your answer is…

A: According to the company policy we can only answer the first question and rest of the questions can…

Q: 3 1 4 -3 A = and B = 0 5 1 (a) Compute (A + B)?. (A + B)2 = (b) Compute A? + 2AB + B2. A? + 2AB + B2…

A:

Q: Q2 An electronic company produces transistors, resistors, and computer chips. The material required…

A: A square matrix A=aij is said to be a diagonally dominant matrix, if it satisfies the following…

Q: x + 2 A = r - 1 3 a + 3 4 a1.2 + a3.3 = 1 x =?

A: The entry of a matrix corresponding to the ith row and jth column is denoted as ai, j .

Q: 1+i 1-i 1-J3 i (1+3

A:

Q: I. State the direction in which the parabola opens. 1.х — 5 %3D (у—3) 2. х — 7 %3D- (у — 5)? 3. у +3…

A: We need to find direction in which parabola opens.

Q: Problem #2: (a) Find the determinant of the following matrix. A = B = 2 2 1 (b) Find the determinant…

A:

Q: Find the dual of the following LPP. max 3r1 + 2x2 – *3 s.t. I - #3 > 4 201 – a2 + 3r3 = 5 3r, 0

A:

Q: 37. A civil engineer has two warehouses H₁ and H₂ containing 900 and 600 tons of bricks…

A:

Q: x²dx 3. Va? +x

A: We will solve the problem.

Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: 1) V29 2) Vr12 3) V16x7y5 x100 50 7) V y200 4) V(3x – 2)8 (Зх — 5) V25(x + 2)2 8) V32y725

A: Simplification

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: -L 6 -2 10 -3 5 -10 <-27 3 ------ C = 0 -2 4 0 a B 9 4 7 0 11 b = [3 0 8].

A:

Q: Would you mind explaining why sub part a is incorrect? And could you please explain the solution of…

A: Here, we basically have 3 equations and 2 variables x and z.The 3 equations are:1 2z-6=72…

Q: FCO-文-2x+8.3 3. %3D Find FCX)

A: Question is solved.

Q: How many modes are there in the following dataset? 5552668886525

A: Given data(X);5,5,5,2,6,6,8,8,8,6,5,2,5

Q: x+ 7y = -11 -2x - 5y = 4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A company makes 3 products P1, P2, and P3. Each product also uses two raw materials R1 and R2…

A: Given that a company makes 3 products The revenues are also given in the table…

Q: Prove the result 1 =1 72

A: Let z1 = r1cosθ1+isin θ1 and z2 = r2cosθ2+isin θ2 now divide the complex numbers  z1z2 =…

Q: Evaluate using any method you want: 32 - 16 dz

A:

Q: 1) I y=x²-4x-4 II y=(x-2)(x+2) III x y -6 32 -5 21 -4 12 -35 -20 -1-3 0-4

A:

Q: Help me solve this question 5y2+7y-3y2+2y-8 y=-4

A:

Q: then A = A(5B)= and B= -2 -10 [88]

A: given  A=35-14B=-2-10-87

Q: Find a and b such that 3 1 1 27 = a -3 + b -6 2 a = b =

A:

Q: 3. Let 2x? + xy + 4y? = 7 define y as a function of x. dy a. Find dx d y b. Find

A:

Q: Sallin] eluetion usin mathice f . 22 I-1o lo I-12 I3 24.(1 1o11+381 -413 (2) -12I 4I2 1673--6 3

A:

Q: Find at x= 2 dx? 4 %3D dx? 2.

A: Given 2tanx+4y=4 Taking derivative with respect to x, we get…

Q: Evaluate for r= (- 2,0), s = (- 5, – 1), and t= (-4,1). 2r - (s + t) = (OD (Simplify your answers.)

A: To find:2r-s+tr=-2, 0, s=-5, -1, t=-4, 1

Q: thereducedsystem yBY -t -t it CI

A:

Q: 369 - 2 2 4 1 Compute: 4 -1 2 1

A:

Q: Compute u + vand u-4v. u= u+v= - 5 2 V = -3 3 (Simplify your answer.)

A:

Q: x + 1 -1 8. I - 1 x + 3 x2 + 2x – 3

A:

Q: d stuff but how d

A: x is a random variable with the given following function f(x) = 1/4 (x+1); 0&lt;x&lt;20;  elsewhere…