4.2. Let a, b E Z, where a 0 and b 0. Prove that if alb and bla, then a = b or a = -b. -b.

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)

Q: (c) Infer E[W] without resorting to lengthy calculations but make sure you justify your inference.…

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Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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Q: a. If p=√q=ra and pqr = 1, show that, x + y + z = 0.

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Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

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Q: 4.3.a Use Theorem 9.4 to show that Y is sufficient for p 4.3.b Find the MVUE for p

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Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

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: 8. Given that r || s and transversal t, 21 and 26 are supplementary.

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Q: 4 Given F(r, s,t) = r (7sª + 7t°), compute: Frst

A: We are given, F(r,s,t)=r(7s4+7t5)⇒F=7rs4+7rt5⇒Ft=0+7r(5)t4( Partial derivative with respect to…

Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

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Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: 40 If f (ax)=L y ifind the divideddifferonces x21 flaib), flaibic) and fla,b,c,d),

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Q: 3 Find C at any time7 2l/min SIN SIO 6l /min 8 elmin C NI8 100 Pure waley

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Q: if w= fcu) and メ show that U ニ メャy? X Jw うx ニ0

A: We have given;

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

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Q: Let a2 + y2 + z2 = 3ryz, then which of the following is 一

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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 y = x2 + 2 and u = 2x – 1, then du II

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Q: , where a, B,Y

A: Let f(x)=αx2+βx+γ be a function defined on the closed interval [a,b], where α,β,γ,a,b are real…

Q: X(1) h(t) 2 t 4

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Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: Prove that ifx > 3 and y> 4, then xy > 11.

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Q: 5. If z = In , then determine if the following statement is true or false. Justify your answer. a²z…

A: Solve the following

Q: ces. 1 W= d b such that Z = ax + bY. calars a and b such that w = ax + bY? = 0, is it true that a =…

A: We have to find the following conditions according to the given information

Q: then Suppose A= G ) and B= ( ) and A is similar to B= M 'AM where M- as O a o, -0 Oba, -1 Oca, -3…

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Q: e the coordınates of the Vertlces arter a ection over the 10 6 4 2 10 -8 -4 -2 2 4 8 10 -2 -4 10 6.

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Q: 5. If z = In then determine if the following statement is true or false. Justify your answer. + y…

A: We will find whether the statement is true or false as following.

Q: 4. In AMAP and ATIE, LA = LI and ZP = LE. a. What is the relationship between ZM and ZT? b. If mZA=…

A: Given:- In ⧍MAP and ⧍TIE,∠A = ∠I and ∠P = ∠E. To find:- a. What is the relationship between ∠M and…

Q: Suppose that A,B⊂S such that Pr[A|B]=25, Pr[A]=12 and Pr[B′]=12. What is Pr[B|A′]?

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Q: Let a,be Z-{0}. Then one of the following statements is false A)lf ax+by=1 with x,y eZ, then…

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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: 2. Suppose A and B are independent. If Pr[AU B] = .6 and Pr[A] = .4, find Pr[AN B']. %3D

A: We have to find Pr(AnB') :

Q: 5. If A e U(n) and A e C has length one, show that XA € U(n) .

A: If  A∈∪n and  λ∈ C  has  length one,show that λ A∈∪n.

Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).

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Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: 2. (Z, * ) where * is define by a * b = a - b.

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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: of af 42. Assume that w = (х, у) — ху, and (х, у) ду dw dw Find and at ds

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Q: What conclusions can yo WD DY because ZX is WX = XY because of The Find the value of x to the ne 8.…

A: Using Pythagorean therom.

Q: Use Shapiro-Wilks and a = 0.05 for the test and show all parts. * %3D Но: (а) На: (b) F and PValue…

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Q: Show that if 0 <y<1, and Y ~ N(0,1), we have that 9 6 3 P\Y + %(x² – 1) < =] × + (V +1). -

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 2. Find the exact \ength af the following curvis

A: Arc length L=∫ab1+dxdy2dy

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 as h if Find h(r,s) =Emzo (Ys)" if (1ys/<1) カ=0

A: Solution: The objective is to find the partial derivatives

Q: if w= /x2 + y2 + z2, x= erCos0, y=erSin0, z=ee prove that aw/ar= e?r/w and aw/ae = e20/w

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Q: Check That

A: Given: ∂2W∂U∂T=∂2W∂T∂U  for W=eUT

Q: Show that if Y = ax+ b (a ≠ O),then Corr(X, Y) =+1or -1. Under what conditions will p =+1?

A: Assume that X has has nonzero variance, since otherwise the correlation coefficient would be 0,…

Q: Let z, w E C. Show that |z + w[? + |z – w|? = 2(\z|² + |w|?).

A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can…

Q: II. Let U = R, { x € R | 26x + 25x = 0}, J = { x €R | |4x + 2| > 10 } and K = { x € R | x? – 3x – 4…

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Q: Q4: If z = tan 1),ti

A: