X = 1 X = 2 X = 3 X = 4 X = 5 X = 6 Y = 1 843 254 308 961 1,203 1,492 Y = 2 568 1,755 1,274 755 404 381 Y = 3 725 487 628 318 799 1,750 Y = 4 1,092 962 801 1,044 128 149

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: Let us consider that (0,q^2 ), (1,1) and (p^2, 0) are co linear then prove that 1/p^2+1/q^2=1.

A:

Q: Check is bilinear form IR OY not? an

A:

Q: Let 3 = (X'X)-¹X'Y as shown in class. Let y = w'ß, where w is a column vector. Show that Var(y) =…

A:

Q: Q1) Find the canonical form of these question : a) f(x.y,z) =F=x' y' z+x y° z" +x y z b) f(x.y.z)…

A: We are given: f(x,y,z)=F=x'y''z+xy''z''+xyz We are given the standard Form. F=x'y''z+xy''z''+xyz…

Q: dx - x³)². (1 – -

A: Solution: Let Then, singularities  of  f  are  given by…

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

A:

Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: The given function is

Q: z = f(st - 3, s2 +t) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = f2(-1,9) =…

A:

Q: Let f(z) = 2z +1 a) Find f(z+ h):O b) Find f(z+ h)- f(z): fe+h)-{(z) d) Find f'(r): :

A:

Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the…

Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

A:

Q: Suppose Y uni f (0,5). Determine the probability that the following quadratic equation x² + 2xy + Y…

A:

Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

A:

Q: (L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these…

A: Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v   To prove: A*=M-1ATC

Q: Prove inf { ñt nEN}= %3D

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: now using MGF technique that if Z, ~ N(0,1), for i=1,2,3,4,5, then U = Ez ~ x² with degrees of…

A:

Q: Let z(x, y) = xe* + sin xy + y - In 2 then a a) -In 2-2 b) In 2-2 2 c) 2 (²-1) d) - 2 (²+1)

A:

Q: Cannot solve

A: Multiplying and dividing first term by secx and second term by tanx of left hand side of equation ,…

Q: Prove that Vtan a de – 7//2.

A:

Q: (9) Ur = = UF'(A)) and that f Prove that f-1 (μη) = - U ΜΑ»). ΑΕΛ

A:

Q: If f(x, y) = (2x? + 8y²)í, then f_(0, 0) = %3D A) 0 В) 1 C) 4 D) 2 E) Does not exist

A:

Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27…

A:

Q: 3.11. dz, a) y:|z + 2| = 1; (z -1- 3i)(z + 2) 6) 7:|z +1- 2i| = 3;

A:

Q: 5 how using MGF technique that if Z, ~ N (0,1), for i =1,2,3,4,5, then U = Ez} ~ x² with i=1 degrees…

A:

Q: Suppose that Cov(X, Y ) = 5. What is Cov(3X + 4, 9Y )?

A: Cov(X, Y ) = 5 & We have to find Cov(3X + 4, 9Y )

Q: Find V · (V × F), if F(x, y, z) = 6e²*i+ 5xe"j – 2ev³k. %3D -

A:

Q: Prove (u x v)' = u' x v + u x v

A:

Q: Find fix) if f =x-cosX, f'o)=2 &f(0)<-2

A:

Q: Show that pv¬(p^(pvq))=¬p Apply one and only one law per step.

A:

Q: show thet ® Coule+ AX, {) - A Cou(8iY)

A:

Q: 6) Find most general antiderivative of the fxn ) f(2) = secx (secx +tane) Secx +tanx, = secx COS X

A:

Q: O Evaluate: | (In a + xe" + Vry) dy

A: Solution of the problem as follows