Q Let (X, B(R), µ) be a Borel measure space. Suppose that {A, = [7n=1 12n+1|0 Then µ(U"1 in-1]) equals be a family of elements of B(R). 7n n=1 72 a.1 b.5 c.7 d.2

Q: Let Z~ of Z N(0,1). Find Pro.1 Select one: a. 0.81 Оъ -0.81 O c. -0.44 Od 044

A: We have given that  X~Normal(mean=0 , standard deviation=1) Find Z-score  P(Z<z)=79.1%

Q: or A = {1,2,3,4} and B = {3,4,5}, determine Ax B= B x A= X = (A x B)- (B x A) =

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Q: Let X Gamma(a, B). Prove that for any positive integer n > 1, E(X") = [(a +n– 1)(a+n – 2)..-a]3".

A: It is given in the question that X~Gammaα,β then we have to prove that for any positive integer n≥1.…

Q: Let X-(1,0,-1,-V2)'. Then, |X|l2= Select one: a. 2 b. 1 C. 3

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Q: 2 3 -2 4 7 11 Which of the following is the value of y'(1.8) calculated by the backward finite…

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Q: HW_2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

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Q: 1 Prove that 3 dx s VI VI

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Q: Let X is p.d.f,f (x) = k(2 - x) 0 <x < 2, then the constant k = ..... A) 1 B) C)를 D) 2

A: We have given that,  X be the random variable having probability density function f(x) = k(2 - x),…

Q: Two students are named to present their work from a class of 12 students: 3 from electrical…

A: Total = 12 students  Number of electrical = 3 Number of tele com= 5 Number of computer = 4 X: Number…

Q: 15. Find x so that m || n. (5x – 20)°

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Q: Qil classify the following sequncey © {√√√n } Ⓒ [to)" -n²} Ⓒ {²}

A: Given the Sequence: n -1n.n2 n-1n We need to classify the given sequences.

Q: Show that S= {xER*| x < 2x.} IS convex

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Q: Let Sy := {1-(-1):NEN. Find iNf Sy and sup Sy

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Q: Let Z - N(0, 1). Find P(Z < 2). Question Help: D Post to forum

A: Given that, Z~N(0,1)

Q: 8. Let D be the rectangle given by -1<ys0, 1s x< 3. calculate ff,(x2 + y)dydx

A: 8. We will evaluate the given double integral. Given integral is ∬D(x2+y)dy dx with the limits…

Q: Suppose k = 0,1hr−1 and T = 10hr. Find the smallest n such that Rn > 0,4R.

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Q: O which of The Folowmy ODES ane Linear or y-lmear. Abo show hei orders and degrees . (E+2m L²= 10…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Evaluate dx V In(8-x)) at x = 1. = 1.

A: We have to find: ddxln(8-x2)3   at x = 1.

Q: d di V(I + t*)s

A: Given ddx1+t757

Q: let X ~ N(M, 6²) Find MLE (6²) X 7°

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Q: 4. 9. 99 24 +. 20 10 10. 5. -88 +. -5 -3 11. 6. -20 30 +6 +5 8. 11

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Q: Find numbers m and M Such that m<f'(1)< M figure in (1.4,1.3) l1,2 (1.6, 1,4) +

A: Given: The graph of f as  To find: The numbers m and M such that m&lt;f'1&lt;M

Q: 2.14 Use the identity EijmEkim = daðn – dad to show that a x (b x c) (a c)b- (a b)c. %3D

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Prove that |xy| = |x|ly| for all real numbers x, y.

A: The given problem is to prove the following statement. Given statement is |xy|=|x||y| for all real…

Q: 1. Let s = (001 001 001...) t = (01 01 01...) r = (10 10 10...). %3D Compute: a. d[s, t] b. d[t, r]…

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Q: d K, d1 + d. +... + K, 2 n K, K, 1 n

A: Let d=d1+d2+....+dn From Cauchy Schwarz inequality , we have- d1k12+d2k22+.....+dnkn2…

Q: (c) s²+1 s(S-1)³

A: We do the partial fractions first and then find the inverse laplace transform. The detailed solution…

Q: tnd if Zi=ñ Ccoro tisino] and %3D

A: z1=r1cosθ+isinθ and z2=r2cosϕ+isinϕ

Q: that uni, o wthat (h) 3.

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Q: If m is a positive integer and x > 1, then show that 1-4¹ (-1)" xm+1 m! 2 F₁ m+1 m+2 2 2 dxm

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Q: /- Solue 4ind partice the following DES asd where possible ((x+j) +

A: Y(X)= -x/2+c/x, where c is a constant. This is the general solution. Since initial conditions are…

Q: let A Set bounded below, ילC erove that C. nf A inf C A %3D

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