03) find the ax en the sl abetwed wol y=J2-X, and y= 0

Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: Let X N(u, 1) of size n. Obtain UMVUE for u.

A: Given that  Let X  N(μ,1) of size n. Obtain UMVUE for μ

Q: Show that a fomws with R>o Ssee igue] may be descuibed panometuicaly by u cU,N] Cosu, (R+ o…

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Q: Let X N (u,1) of size n. Obtain UMVUE for M.

A: We will use Lehmann-Scheffe theorem to find the uniformly minimum variance unbiased estimator for μ.

Q: Show tH In k CHint dbtain o formdar for Sn Hint dotau forunlar

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Q: 10. Given: WZ = ZS = SD = DW Proof Prove: AWZD = ASDZ

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Q: b) Prove Y)- min (t, Ye, Kg) is a UMVUE of o non

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Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

Q: Show theit the fenias +- (AtI)(28+1) (P+1)(2p41)(38+1) (uhese a>0, B>0) conveages if B>a amd…

A: Ratio test If we have series ∑ann=1∞ Then we will find the limit l = limn→∞an+1an If l<1 , then…

Q: 12, GIVEN: JKI KT, ET 1 KT, KV TL, IL EV. PROVE: AJKL AETV. T.

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Q: n) the Integral evalu ate car 1- (X² +3) e Xdx

A: Given integral Apply integration by parts formula to integrate

Q: 7. Solve the following first-order linear DE's. y' + (cotx)y = xcscx, ) = 1

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 15) o veclovs ú = Givetw and Tñ=211 deternine the projection d on 2.

A: This question can be solved using the projection formula.

Q: メ (myst メート→ Q(2,4) where: Path C くz rom ○)と to over the Evaluate the

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Q: 6. If y = In(r+ 1) In z then what is dy/dr? %3D

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Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: In the given figure, suppose M2TUV=(4x-8)° and mzTSV= (x+16)°. Show that mzTSV is hal of M TUV. * S…

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Q: at a port city is s will arrive. needed.) arive) =O needed.) ve) =] needed.)

A: The mean number of oil tankers at a port city is 15 per day (λ) The port has facilities to handle up…

Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

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Q: if JERLA.b] and it hex)- J(x). except for finite mumber of Paint in Cab] then that he Rlab] prove.…

A: if g ∈R[a,b] and if h(x) = g(x) except for a finite number of points in [a,b] then prove that h…

Q: O let X be fe VrV Finel ECX) ael E(x)

A: Note: As per guidelines we can answer only one question at a time. I request you to please repost…

Q: 10. Given: YX = ZX WX bisects YXZ Prove: AWYX AWZX Statements Reasons

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Q: 4) Which of the following foumulas does not Kold for all x, we CZ O la wl= |2). Iw). (6) X W = ņ. W.…

A: We know that

Q: 10. Given: YX = ZX WX bisects ZYXZ Prove: AWYX AWZX

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Q: 6. Given: AUVW = AXYZ Prove: UV || XY .Y W

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Q: 4 Let X,) be a pankizlly oadered e For x,y € X deftre xLy eff x sy and x#y. Pucose the Fallowiag:…

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Q: 6. Given: 21 and 22 are complementary Prove: SX 1 WX S. 2,

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Q: 5. Prove that if x, y ER, then x + y ≤ x + y. Use the following cases: (i.) x, y ≥ 0, (ii.) x, y <…

A: We now prove that if x,y ∈ ℝ , then x+ y≤ x+y with the help of given three cases.

Q: az Find if yz – In z = x + y ax 3.

A: We have              yz-lnZ=x+y

Q: 2) Given: ZRAL E LYAL, ZRLA LYLA A Prove: AR = AY R.

A: Explained below

Q: Suppose, X0- Binom(m,0)and 0~ Beta(a, B), then E(X) is equals to, a) maß b) aß ma c) d) me

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

Q: 20. Let -(). -- (). (). u = w = If au + yv = w. (x, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2…

A: To find  The value of x-y

Q: az Q.7 If z(x + y) = x2 + y?, show that lax = 4 ду. - +(1 - ax ду.

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Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

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Q: prove: sE121y |Re(z)+| Imcz)l

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Q: 2. Given: XW = XY, HA I WY, KB 1 WY Prove: AHWA~AKYB. W.

A: Given that XW¯=XY¯ in ∆XWY. So, ∠XWY≅∠XYWor, ∠HWA≅∠KYBGiven that HA¯⊥WY¯, KB¯⊥WY¯So, ∠HAW≅∠KBY=90°

Q: Use the diagram to prove that ACAS ATAS. A T. Given: CS = ST and mzCAS mzTAS= 90 Prove: ACAS= ATAS

A: Given : CS ≅ STm∠CAS = m∠TAS = 90°

Q: v. Let Ac S, prove that P(Ā) = 1- P(A)

A: Given that

Q: gla): [veri de, fued g'la). ☺ Compute #4.@ If ) es ds -6

A: if function is continuous on interval [a,b], and  Above rule is also called Leibnitz rule of…

Q: 10.B.4: Suppose TE£(V) andcEF. Prove that det (cT) = cdim V det T.

A: Here given that T∈L(V),is the set of linear maps from V to V.

Q: 12. Prove: ΔUΧΖ-Δ AUXZ AYVZ ~ Z.

A: Given: chord UXChord YVand the Center ZTo…

Q: 4) Let (an) be anumsenical seguence sveh that lin u"4, Then the nadius of Comvergonce of the beries…

A: The given series is: ∑n=0∞7an2xn. We will use the root test to find the radius of convergence.

Q: and are 2 soihions and w Cy,,Y2)(to)to what con conclude ? we

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Q: 2! ODEV de venten egrimin yözyım alonını bulumz eksni etrafioda döndənuess te duçon

A: A=integration a to b y(t) x'(t) dt

Q: c) Compute µr, Hy, Ož, o, Cov(X, Y), and p

A: Reviewing information, Given pdf is, f(x,y)=x+y                 ; 0≤x≤1 ,  0≤y≤1

Q: 6. Given: ZR= ZZ CA= YA Prove: ACRA =AYZA Y

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Q: Vhich of the following must be true so that AKLM= ANOP by SAS M K N. OA: LM OP Strike Reset OB: KL…

A: The triangles ∆KLM≅∆NOP by SAS. Then which of the following is correct.

Q: 4: a) Let X.X., X -N (Hi,6f). Let Y,, Y2 Ym-N (u2,63). .... d (1-a) % CIfor oi when ai. a known.

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Q: 4) Let x, y, z E Zg. Prove or disprove the following: Ifxy = xz, then y = z.

A: