For G = S, state Question 11. necessary and sufficient conditions on T , a subset of S = {1, 2, . . . , n}, for G(T)= GT.

Q: Show that Σ(xi-x)=0 for any set of observations x1, x2, . ...,xn

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Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: A. let w-e te Find W2

A: We can solve this using u/v rule

Q: 2.5.2. Let S = {2,3} × {-2, –1,0}, and let T be the set of all ordered pairs (x, y) E Z × Z such…

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Q: a. Let X = {2, 4, 6} and Y = {a, b, c, d'}. Define g : X→ Y by the following arrow diagram. X 2 4 bo…

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Q: 2. Let f: ZxZ-ZxZ be defined by f(m, n) = (3m+n,n²) a. Is fone-to-one? b. Is fonto?

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Q: 9.3.13 Prove Proposition 9.3.4. Let a'(G) be the size of a maximum matching in a graph G. Then x'(G)…

A: It is given that α'(G) be the size of a maximum matching in a graph G. Objective: To prove that…

Q: aim: A minority of adults would erase all of their personal information online if they could. A…

A: Given data, n=450 Let p be the proportion of adults that would erase their personal information…

Q: Given a p.m.f. of x as below: (e-33x f(x) x = 0, 1, 2, ... = x! 0 O. W and y = 2x, then the p.m.f.…

A: In question, We have given the pmf of random variable X and Y = 2X then we'll find the pmf of Y. The…

Q: Use the fum tiom to find the imoge of v and Hhe pieimuge of w. T(V.,N.) - (v, + V» , V, ), v• (3, -…

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Q: a. What is p(t)=  b.By using the function from part a, what is the answer in integer ?

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Q: • If f(x) = |sgn(x- 1)| then, 1. D; = R RF [1,0, –1} 2. D; = [1,00) R; = {1,0} 3. D; = R Rp = {1,0}…

A: Given that, f(x)=sgn(x-1) Take the derivative for f(x), It is known that, D(sgn(x))=δ(x-1) Then Df…

Q: Find the elements of this Set S = { x I 2x – 4 ≥ 0 and x < 1 }   0   2 and above   none of the…

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Q: (1.2.7)List all elements in the following sets. (a) T = {m € Z | m = 1 + (−1)¹ for some integer i}…

A: The sets are: (a) T=m∈Z | m=1+-1i for some integer i (b) U=r∈Z | 2≤r≤-2 (c) U=r∈Z | -2≤r≤2 To Do:…

Q: - 6 - 2t 5t - 1 Determine the derivative of g. Let g(t) g'(t) = = 32 (5t − 1)² ✓ Determine the slope…

A: The function is The aim is to find the derivative of the function

Q: Let X N(10, 23). Then P( X< 10) =

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Q: ) Let S be the non-empty set containing all a for which f(x): = monotonic for all xe R. Find S. 4a-7…

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Q: Suppose that P(A;) = 1 for all i = 1, 2, .... Show that P(N A;) = 1.

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Q: Is defined for some value of s?

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Q: Hw.3 Find the aveas for the Following regions: - Region bounded by 2- Region bounded by and ッニメ+2…

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Q: (4.1) For sets A and B. prove that P(AB) = P(A)~P(B).

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Q: - Tell whether the following sets are open: (Justify your answe (a) (3,5) U {6} (b) (-∞, 0) U (0, 1)…

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Q: -2 3. 1-2 - 3 L-3 -3 -2 = [0] 2. 2. 3

A: x  2  13-2-3-2-3-2-3-82x-13=[0]x213x-7-2x-3-3x+14=[0]3x2-7x-4x-6-3x+14=0

Q: (a) (-1, 1) U (10, 11) (b) (-∞, 1] Please include interval notation

A: We have justify the given subset with line.

Q: Compute (x – 2) for the following set of n = 7 values. X1 = 8, x, = 15, x3 = 14, x4 = 10, x5 12, x6…

A: Given,   =?