10. De Morgan's law states that for any sets A and B a. (AU B)' = A'n B' c. (AUB)' = A' U B' b. (An B)' = A'N B' d. (A n B) = A' U B' %3! %3D

Q: Suppose, X|0~ Binom(m,0)and 0~ Beta( a,B), then E(X) is equals to, а) тав b) aß ma c) a+ B me d)

A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

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A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: 2, Choose give Single digit positive in te gor f them' and the mean me

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Q: (e) Either the plant at site 1 or both of the other plants are completed by the contract date. O A,…

A: It ia asked that either the plants at site 1 or both of the other plants are completed by the…

Q: 1. If CW= 15, find CXand XW. 2. If BX= 8, find BY and XY. 3. If XZ 3, find AXand AZ

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Q: 4 À =A, i + Ayj + Az kk and + Byj + Bzk prone ズx8 %3D Ax Ay Az B By Bz

A: Given, A=Axi+Ayj+Azk ; B=Bxi+Byj+Bzk, so the left-hand side is:…

Q: 1.c) Solue the syakm of eguodons by delermin ants. メ+y+3=I ー×ナyナ3 =5 ソ+23=5

A: See solution below

Q: , Giran me qiven family of ines for b=0, I, I 3, I6

A: Graph of  y = -2x y = -2x -1 y = -2x +1 y = -2x -3 y = -2x +3 y = -2x -6 y = -2x +6

Q: s^(1 – u)Vū du 4

A: Given integral   ∫141-uu du

Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: 2. If A C B, then m*(A) < m*(B). 3. If A = Q' n (0,1), then A is measurable. %3D

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Q: 4. Consider A={m,a,t,h}; C={x:x=3n,1šns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n 56,nEN} What is CUD? *

A: Here given that                         A={m, a, t, h}                         C={x:x=3n, 1≤n≤4,…

Q: 2) prone À . § = A, Bx +Ay By + Az Bz %3D

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Q: .1כ If n33, еxpand u %3D а'хх, a" x,x;

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Q: 1ins of the following inction uising Lagrange apiers subject to the condition a +y? = 40 .

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Q: Con sider Sam ple X,, X2,.., Xg from a NC8,4). Find the Coverage Probabilit a of interval [x-2, +2].

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Q: 4. If /(r.y)=- , find f, and f,. V+y

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Q: what is the averaage value of y=a/x on [1,b]?

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Q: 4. If n = 8, and P( - ks < x, < i+ ks) = 0.80, then the value of k is given by %3D %3D

A: here use t- distribution

Q: frovite nodel that salis fies nadel a a bove

A: We have to provide a model that satisfies the given model.

Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

Q: too x(Ju) - xt) e ot * the famer heansfarm ナR X( Jw) Sen %3D

A: Fourier transformation of a function x(t) will be X(t) and inverse Fourier transformation of…

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A: Given, Let the events be: The corresponding probabilities are:

Q: I, Fund warginal X warginal h(x) alistribution for 2. Fud conditimal pf Ty) Estmate 4. Estuale…

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Q: 1. When is the object at rest? Your ansiôier

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Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

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Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: Asume ihal zand ya buh dferentatie fundkona of tand ane d by he quten - as () Entar he ac ar. Number

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Q: 2 the Istoctant In neetayulan condinates) desersha the uilume in hand hy y= 2x y= 9x X= 10 x* + ye +…

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Q: O Prove thal P(m, n) - (n,m).

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Q: 2х eğrisinin varsa asimptotlarını, kritik noktalarını, ekstremum noktalarını, y : 1-x dönüm…

A: function behaviour and its graph

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A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

Q: 13. If T:(x, y)– (x – 1, y + 6), then T':(x, y) → (__, .

A: GivenT(x,y)=(x-1,y+6)To findT-1(x,y)

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

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Q: Let A € M₂, (C). Then, for a E o(A), GEO.MUL(A) ≤ ALG.MUL₁(A).

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Q: Let Flx,4z)=xi-zsinluzljtusinlyalk. Colculote é Fdr, where cis a path from A:10,0,1) +o B-13,1,2)

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Q: 1-eat 1s a 1 1 b. а. s (s + a) (s + a )? 1 1 d. с. a (s + a) (s2 + a?)

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Q: 12. Prove: ΔUΧΖ-Δ AUXZ AYVZ ~ Z.

A: Given: chord UXChord YVand the Center ZTo…

Q: 3 det fi (A, Sa)→(B,Sq be an onder womorphin and, Sa={x€A: x Sq a} + Ø and Sp ={yEB: y <, flal}…

A: We have two order relations, one on set A and other on set B and we have a function f from A to B.…

Q: •1 Evaluate ſ, S, Saya xyzdzdydx S So Sirzava xyzdzdydx 2 0. Vx²+y²

A: 2) Evaluate ∫01∫01∫x2+y22xyzdzdydx

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A: Given point is : k-5,-2A-4,1i0,-1J-2,-24  To find the reflection of point about y=x

Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

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Q: If you know that y following O.D.E wit 7: then the valu O.D. E: y%3Dcje Inital conditions:

A: According to the given information, it is required to find the value of constants.

Q: Let S(a, b) = {na + mb : n, m ∈ Z}. If s ∈ S(a,b) then sx ∈ S(a,b) for all x ∈ Z How do I prove…

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Q: 『/ f メ,メ K、 be ars fo U()e) Tet Yu be the Larsest s the n bservotien an unbiesed estometor fr 6? E-…

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Q: ф%3 ASin2лut $ = TUt dø, k " ø = 0 dr m U = ? +

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