1 Suppose X is a discrete r.v. having p.m.f. as -1 1 21 2c 16c Find c=

Q: contrapositive and converse of each statement. (a) If all birds fly, and if Tweety is a bird, then…

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Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: Given a p.m.f. f(x) of a d.r.v. x as follow: x = 3,4, f(x) = k - , then (0 0. W the value of k to…

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Q: Let a, b c and d be real numbers. Show that ab-cd = b(a-c)+c(b-d), and deduce that |ab - cd| ≤…

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Q: 2. Decide whether each of the following sets are finite, denumerable or uncountable. Explain each of…

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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: P3.6.8 Problem: Consider the set S = ZV2] as defined in Exercise 3.6.6, a set of real numbers.…

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Q: Show that S {x€R* |2,• 24. • O} is/isn't %3D convex

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Q: 01 1 13 If A= 0 0 1 then A Select one: a. 01 0 0 0 1 0 0 0 O b. 0 1 1 0 0 1 0 0 0 C. 0 0 1 0 0 0 00…

A: Topic- multiplication of matrix

Q: Cor. 2. For three non-mutually exclusive events A, B and C, we have P(AUBUC) = P(A) + P(B) + P(C) –…

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Q: Let A-(2,3 and B Qn 4,5]. Which of the following is True 1. B contains a finite number of elements.…

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Q: 6. Evaluate the det A where A = 1 0 -1 2 4 24 3 1 0 1 0 041 44

A: Given Matrix: A=14230144-10102041 To find: The determinant of the matrix. Concept used: i) There are…

Q: 2. Use a table to express the values of each of these Boolean function. F(x, y, z) = x+yz

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Q: 1. A service station has both self-service and full-service islands. On each island, there is a…

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

Q: (1) Given two sets S₁ and S₂, compute their union. OL= {U= : S₁, S₂, and S3 are sets and S3 is the…

A: we want to know that the definition of union of two setunion of two set means the set containing all…

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: Let A and B be two measurable sets prove that if ASB then BIA is measurable and m(B\A)=m(B)-m(A)

A: The given problem is related with measure theory. Given that A and B are two measurable sets.  We…

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: Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each…

A: Given that A1, A2, . . ., A30 are thirty sets each having 5 elements and B1, B2, . . ., Bn  are 'n'…

Q: S[e²t. √4+e²] dt

A: Evaluation of the indefinite integral, by using substitution method

Q: M) Shoe that if fit-B and F₁ F f (EUF) = f(Euf(F) and Subset of A hen f(ERF)<f (2) Af(F)

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Q: If X = {1,2.3}, A and B are IFSs where A= (x,{1},{2}) and B = (x,0,{2,3)) then An B

A: Intersection of Two Sets The intersection of two sets is the set of elements that are common to…

Q: 8 12 -4 -2 -5 12R 5R 11R 6R 3R 9R P(X=x) Evaluate R OA. 47 Ов. 1/46 OC. 1/40 OD. 40 OE. None of…

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Q: 1. Q-1: Answer each of the following as True or False justifying your answers: 2. 1 c) If (I –…

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Q: Actiurly 2.3.klation and Fnction let de 7 3, 4kand B -fle.9,10 and define elation R from X to be as…

A: Introduction: A relation between two sets is nothing but the subset of Cartesian product f the two…

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: 2. When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

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Q: is it T or F

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Q: diverges. . Determine wether.the.semies.converyes.co.. .b.(.n.) .C... n³+ 3

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Q: A. Evaluate the follow 1. S dy 3+√y+3

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Q: A container contains 50 green​ tokens, 15 blue​ tokens, and 4 red tokens. Two tokens are randomly…

A: The container contains 50 green tokens, 15 blue tokens and 4 red tokens. So, there are 50 green…

Q: Ex:Let (Q,0)be a slouP. A nodremp ty set HS Q - is a Sab sYou? of G if and on ly if ab" E He fer anS…

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Q: If y In(In e) Find y

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Q: Let SF(n) be the squarefree function of n. Hence, SF(1) = 1 and SF(p¹p2²...pr) SF(n). P1P2...Pr.…

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Q: 2b. In R show that : || x - y || || x + y || ≤ 11x11 ² + 11y11²2² -(1

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Q: 1. Let s = (001 001 001...) t = (01 01 01...) r = (10 1010...). Compute: a. d[s, t] b. d[t,r] c.…

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Q: 2л 2 2 Compute |pA dz dr de 0 07 O A. 35 28 O B. 35

A: To solve the integration.

Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  &amp; T=0, 2, 4.

Q: -2/=1) dz 7. Evaluate

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Q: c) Find the are under the curve on the interval -2 ≤x≤2

A: Given that , y=x2+2x