Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

Q: • Let X1,...,Xn iid Poisson (0) such that E(X1) = 0. Suppose that Find the level a = 0.05 LRT for…

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Q: 3-If u(x),v(x) and w(x) Find d/dx of (uvw)

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Q: (5) Consider the several variable function f(x, y, z) = xe²y + yeš + ze¬². Give a general formula…

A: The given function,   fx,y,z=xe2y+ye3z+ze-x

Q: Suppose that y; has distribution N(0;,o² = 1). (a) Write the pdf in the natural exponential family…

A: (a)    According to question, yi~Nθi, 1 and Natural exponential family form given in question is,…

Q: If F (s) = then %3D (s+1)2+4

A: Using inverse transform properties, f(t) is given.

Q: 4. If f:1 → R is differentiable on I and g(y) = yn for ne N and ye R what is (gof)' by usin chain…

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Q: 7 y=tanx show thats y" = -2Siny cosy 1f y=e Snbx show that:

A: Dear Student, according to the Bartleby guidelines, we can answer only first question if multiple…

Q: 0,80) (35,45) (0,25) (35,35) (25,25) C. y 2 0 OD. X 2 0. X 2 25 X2 25 X S 35 y 35 X-y s 80 X-y 2 x+y…

A: We can eliminate the options to find out the answer. From the solution below, using the first two…

Q: (c) f(x,u, v) = – log(uv - x" x) on dom f = {(x,u, v) | uv > x² x, u, v > 0}.

A: C.

Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

A: The given function is f(t)=(e-3t-e5t)2. Expand the function implies, f(t)=e-6t+e10t-2e2t The Laplace…

Q: 10 a- Let X1, X2, ..,Xn~N(0,0) and T Find %3D X2 E (T),Var (T)

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Q: 1. re (x, y, z) x). Ly). (z}} - *(*. y, z) . (x)S(x), ly), (z]} (x)E (x, y, z}

A: If x is element then it belong to set And {x} it will be subset of set

Q: e-x-y x> 0, f(x,y) = { e y >0 otherwise Then: O None of these ) X and Y are statistically…

A: Solution

Q: Let SINGLEDFA = { | M is a DFA and for all s e L(M),|s| = 1}. Show that SINGLEDFA is decidable.

A: Detailed explanation mentioned below.

Q: 2. Suppose the PDF of X is given by fx(x) = 5e-5x(o)(x). Find its CDF.

A: Solution

Q: 3. If f(x, y, z)= In xyz te(3.0²), find f,,f, and f-· 4

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Q: log, x = 5.3 and log3 y = 2.1, %3D log4 u = 3.2 and log4 v = 1.3. 19. log3 (9xy) 27. log3 (x²y³) 20.…

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Q: 2y edy S- e-1 y

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

Q: 2. for z = 1.28, o, = 0.84, o2 = 0.64, n, = 13, and n2 = 48. n2 Evaluate E=z %3D - - E = (Round to…

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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: 2 (b) S(2 + tan (0))do (c) S 2'(1 + 5')dt

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Q: 5. 9 ycotx %D CSC

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Q: (4) Evaluate : + yz') dV if Q= {(x, y,z): x:[-1, 1], y:[3, 4], z:[0, 2]}

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Q: 4. Determine wether.the senies. Canveryes.cr. diverges e.. 2h n2 .. 4 -1.

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Suppose, X|0~ Binom(m.0)and e- Beta(a,B), then Var (Y) is equals to, maß

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Q: 6. [ID # ending in 9] J3 w Find дх ду дz if w — exyz = 0.

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Q: Eva 6 SSin'z osx dy

A: ∫undu=un+1n+1.     cos2x+sin2x = 1

Q: (x, y, z) = VI - xVE – y. (x, y) In(1-x) In(z+y). (х, у). (x, y) = D. (x, y) = VT – x + y². /1 - x +…

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Q: The ops y' =esx-7Y;s Separable

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Q: 11. Prove the absorption law x +xy=x using the other laws in Table 5.

A: To prove: x+xy=x We use the following identities (1) x=x·1 (2) 1+x=1 (3) xy+z=xy+xz    ( This is…

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

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Q: S F(s) %3D (s+5)6

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Q: An M.V.U. is unique in the sense that if T, 1 M.V.U. estimators for y (0), then T, = T, almost

A: A sample statistics t is said to be unbiased estimator of population parameterγ(θ) if expected value…

Q: (z In z + 5)dz

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Q: continuous! bx + a 5x lue of o4h is

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Q: 4. Find two values of c in [-4, 4] such that f(c) is equal to the average value of f (x) = 3 cos 2x…

A: To determine c such that f© is equal to the average value of f(x).

Q: by

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Q: terms HK K . J 12 in

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Q: 1 4) S(x, y) = Ans. f(0,0) = -1 local max. x+y -1

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Q: 4 In GL(2,Z13), det 1 4

A: We have to find the determinant using GL(2,Z13) That is, instead of usual addition and…

Q: Show that the family of functions {s()}" COS n=0 is mutually orthogonal on -L≤ x ≤ L, with respect…

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Q: 8. Theorem h° = %3D

A: The figure given below represents the circle. From the angle subtended by the same arc theorem, The…

Q: 1) F(s) =- s +s Ans. f(1)=1-e"

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: Let, Y Y2,- Maussian trandgm varcia sles with przobability dens its tunction Yn be independent…

A: Please note that as per our guidelines we can answer the first three subparts only. Please post the…

Q: Find y for the following ey ex-e %3D Select one: 1+y O y= x +y O y = ex-y exy xexy+eY Oy= -yew xexy…

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Q: Find fCx) if flo)=0 and the tanGat (k,F CX) has ine af Slore x(x+2) a

A: Given for the function F(x), F(0)=0 and tangent line to F(x) at x,F(x) has slope xx2+23.

Q: 5. Show that |Logz|<|In(z)|+ t, for all z # 0.

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Q: se Euler method to compute ys for the DE yy'=2 x for y(1)=3

A: Euler's Method