If n = 15, X= 60, Y = 45, XY = 180 then the covariance Cov(X, Y) will be %3D Select one: O -1 O 11.2 O +1

Q: 4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

A: a) We will use the formula E(aX+b)=aE(X)+b E(9X+2)=20E(9X)+E(2)=209E(X)+2=209E(X)=18E(X)=2   Answer:…

Q: D Question 2 Select all that apply: r y" + 3ry - 2y = In r 3rd order O linear Ononlinear O 2nd order…

A:

Q: The variables x and y are connected by the equation ax + by + c = 0. Show that the correlation…

A: Given that, the variables x and y are connected by the equation ax + by + c = 0. We need to show…

Q: Suppose E(X) = 1, V(X) = 2, E(Y)= 3, V(Y) = 4, and E(XY)= 5. (1) Сov (X, Y) (2) Corr(X,Y) (3)…

A: 1) COV(X,Y) =E(XY)-E(X)E(Y)                    = 5-1×3                    = 2

Q: 3) x 5sin 1, y = 4cos t

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: The convolution of e2t ® sin(3t) S is | e2Usin(3t – 3u)du e2usin(3t – 3u)du Se-2usin(30)du…

A:

Q: y' - y y2

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Q: 1. Suppose that Var(X) = 3, Var(Y ) = 4, and Cov(X, Y ) = 1. (a) Find Cov(2X − Y, X + 3Y ). (b) Find…

A: Given, Var(X) = 3, Var(Y ) = 4, and Cov(X, Y ) = 1       To find, a) Find Cov(2X − Y, X + 3Y ).b)…

Q: Suppose w = 6xy + In(4 + z²) , x = - , Y 3u + 9v, z = cos(8u). Find dw/dv when u = -5, v = -6. dv…

A: *to find:- Partial derivative of w with respect to v, when u = -5 & v = -6

Q: 1. Find the correlations in the constants a, ß, y, 8, €, and § such that the equation (ax? + Čxy +…

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Q: K. 4 12 12 8. 7. Which additional piece of information would prove that A/JK-ALMN? C. NM=15 D. LM=10…

A: The objective is to find out the correct additional piece of information.

Q: ) Consider the joint pdf fxy (x, y) = cxy, for 0 < x < 3,0 < y < x a) Determine the value of c so…

A: The pdf given isfx,y=cxy                         ,0&lt;x&lt;3;0&lt;y&lt;x   a) If the pdf is valid,…

Q: an = aq"; bn = (-3)", dla n ≥ 2 oraz bo = b₁ = 0; 2n Cn = dla n ≥ 2 oraz co = 1, c₁ = 2. n!'

A: As per the question we are given three sequences : an , bn , cn  And we have to find their…

Q: 1. Find the following. Iy(-1, –1) if g(x, y) = x³ – xy² + 3

A: Given g(x,y)=x3-xy2+3 Differentiating g partially with respect to y, gyx,y=∂g∂y=0-x(2y)+0…

Q: Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c)…

A: Considering the LHS (Left hand Side) : LHS=(1+i)mSn|¯ RHS=Sn+m|¯-Sm|¯ ( Right Hand Side)…

Q: Consider an image f(r, y) whose samples (sampling step T T, = 1) are given by f(k,1) = cos(3k - 51).…

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Q: Suppose E(X) = 2, V(X) = 4, E(Y) = 6, V (Y) = 8, and E(XY)= 10. (1) E(X +Y) (2) V(2X +3Y) (3) V (2X…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If H(r) = 1- 3.r – 3.r2 +6.x is the Hermite interpolation for %3D 0 1 the data in the table f(r) b1…

A: To perform Hermite interpolation with the given data.

Q: The joint pmf of X and Y is f(x, y) = 1/6, 0 ≤ x+y ≤ 2, where x and y are nonnegative integers.…

A: Joint pdf of X &amp; Y is        f(x,y)=1/6;  0≤x+y≤2, x,y&gt;00  ; elsewhere Marginal pdf of X is…

Q: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x*y²z) + x² – y³ + z – 7 find ( дх ду az

A: Here x,y and z are independent variables and w is the dependent variable that depends on x,y and z

Q: 2y edy S- e-1 y

A: We are authorized to solve only one question, please repost remaining questions Integration

Q: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

A:

Q: The Wronskian 1. Show that the functions e", cos x and sin x are linearly independent. 2. Show that…

A: 1. The functions ex, cos x and sin x are linearly independent.2. The functions 1, sin2x and cos2x…

Q: Given the following: Y y=x? and x+y=1 intersects at (0.618,0.382) 1 A point is equally likely to…

A:

Q: Suppose that X and Y are unknowns with E ( X ) =12 and E ( Y ) =20.  If E ( XY ) =225, then what is…

A: E(X) = 12 E(Y) = 20 E(XY) = 225

Q: Apply Euler method and Richardson extrapolation for h = 0.2, 0.1 the problem: and abtain g y' = ty…

A:

Q: the following DE are Bernouli type and solve: 1. y’ – x = y 2. y’ + 5y/x = x 7 y 4

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Q: Find e² in the form of u + jv and le²| for z = 2 + 3nj

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Q: (9) The coefficient of correlation between X and Y is and of = a, oỷ = 4a, and %3D o; = 114 where Z…

A:

Q: 5) Find NV ir ZN -- 20 7) Find DW if YW-4

A: Consider that the centroid divides the median in the ratio 2:1 (5) ZNNV=2120NV=21NV=202NV=10

Q: 19 8. 11 11 312

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Q: two variables are independent, each with the pmf given in the accompanying table (so X,

A:

Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: 2. Consider the model: Y, =0.2Y+e,+0.4e. Find the autocorrelation function p, for k=1,2,3.

A: We are required to find autocorrelation function(acf) of an ARMA model.

Q: If z = x – 3y, then w = 2 Using the calculation above, mark the s

A: Linear span: Let V represent a vector space, and S=v1,v2,...,vn represent a subset of V. If every…

Q: CO, 1) B1, 1) R. A(l, 0)

A:

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

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Q: Given z = e2x cosy - esin2x, then Select one: CO Zxx + 4zxy = 0 Zxx = 4Zxy Zxx + 4zyy = 0 Zxy + 4zyy…

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Q: If A = ze?xVi VxA at the point (2,0,3) is + 2xycosy j+ (x + 2y) k then the valueof

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Calculate the value of x, y and z. (Use Gauss-Seidel Iteration) • 12x + 3y – 5z = 1 • x+ 5y + 3z =…

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Q: Solve the following Bernoulli DE's. *+ x*y = x®y? a) b) y' - = y %3D

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Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

A: answer is in next step

Q: he joint pmf of X and Y is given below. What is E()XI-M)? Y -1 1 X 1/16 1/16 1/16 1/8 1/16 1/8 1/8…

A:

Q: Let z=xin(x2+y²-eª)-162xy, x=te°, y=et. If the value of when s=2 and t=1 is equal to Ae?+Be", then…

A:

Q: c- Verify Clairaut’s Therom f(s,t) = s²t + In(t²-s)

A: In the question it is asked to verify Clairaut's theorem for the following function given in…

Q: Px(x.y) | x = 0 x =1|x=2 0.09 0.22 0.29 0.06 | 0.15 | 0.19 _y = 1 y = 2 4. Assume the joint PMF…

A: Solution: 4. d. From the given information, the joint PMF is

Q: Suppose, X|0~ Binom(m,0)and 0~ Beta(a,ß), then Var (Y) is equals to, тав a) (a+B)°(a+ ß+1)…

A: x|θ ~Bin(m,θ)θ~beta(α,β)then E(x)=E[E[x|θ]]=mαα+β var(θ)=αβ(α+β)2(α+β+1)

Q: асe of A is

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.