Let S = { a, {1, b} , (2 , c),4}, then {1, b} e S O TRUE O FALSE

Q: Z {a} is a z-a True False

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Q: ieN (4 For each nEN, let A, = {-2n,0,2n}. (a) UA; = (b) NA: = ieN ieN

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Q: Let A, = [0, 2 + ±], for n = 1, 2, 3, 4, 5, . .. Find n U An and ( An ? n=1 n=1

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Q: Let A=[-1,7[,B={-1,3,10,12} and C={7}. Then (A-B) UC= None of these O 1-1,3[U]3,7] O 1-1,7| O…

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Q: If v = w, then ||v|| = ||w||- O True O False

A: If v=w, then v=w.

Q: In [e^] = A

A: Given : lneA = A

Q: Show that if all A's are B's, and no B's are C's, then no A's are C's.

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Q: Let a, = 1 and a₁ + a1 = n² + 2n, n ≥2. Evaluate S

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Q: Premises: p → (q ^r), s → r, r → p. Prove: s→ q.

A: Since you have posted multiple questions and we can answer one question. So answer provided for…

Q: Suppose that P(A) = 0.1, P(B) = 0.8 and P(A U B) = 0.3, then P(AnB) = 0.76 O 0.6 O 0.7 None of these

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Q: Re(z,€,) = Re(*,)R (z,) O True O False

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Q: Let R = M2(Z12). Then A= g] is a O True O False

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If v - u = v• w and v # 0, then u = w. Select one: True O False

A: This can be evaluated by using simply the do product of two vectors. The given information is that:…

Q: For each pair of statements, choose the one that is true. Ofe (e,f) (a) ohe le.f) o (6, 7, 8) E {1,…

A: All the elements of let say set A always belong to set A. Any set is called the subset of let say…

Q: If A = {1,2,3}and B = {3,4,5} then A s B- True O False

A: Given ,  A = {1 , 2 , 3} and B = {3 , 4 , 5}  Then ,  Cardinality of A = 3  &  Cardinality of B…

Q: السؤال 6 Let P(A)=x,P(B)%3= and P(ANB) If A and B are independent, then x be equal 4 4 0 1 4 0 3 0 1…

A: We have to find value of x.

Q: Let A = {c, d, f, g), B = {f, j}, and C = {d, g). BcA A True B) False

A: topic - sets

Q: a. Drives a Waja car or a Toyota car b. Is a male or a worker who drives a Honda car, c. Drives a…

A: HERE AS PER POLICY I HAVE CALCULATED 3 SUBPARTS ONLY  here draw contigency table from given…

Q: 4. Determine whether each of the following eight statements are True or False: a. {1,2,3} C {1,2,3,…

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Q: Let w=ord ({1,2,3,...}) and n=ord({a1,a2,a3, . .. ,an}), then w+n=n+w صواب ihi

A: Given a statement

Q: Let z-2 z-2 n st pC& >0.5)20.9 and y:bin (n,o.38), find or

A: Y~Binomialn, 0.38 Compute the mean and the standard deviation of Y using the formulae: Y=np…

Q: Let Z N(0, 1). Then P(Z<0) 0.5 O True O False

A: Given that Z~N(0,1)So, mean=0 and standard deviation=1=1

Q: Let A = {0, {0}, {Ø, {Ø}}}. State whether each of the following statements is true or false: ØCA {0,…

A: Given A=ϕ,ϕ,ϕ,ϕ

Q: Let U = {0, 1, 2, 3, ..., 12}. A = {1, R - S1 2 5 7 o C - SO 2 4

A: # we are entitled to solve three subparts at a time, please resubmit the other parts if you wish to…

Q: If P(A/B) = P(A) and P(B/A)=P(B), then A and B are: O A. Mutually exclusive O B. Dependent O C.…

A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

Q: If P(A U B) = 0,5 and P(AN B) = 0,5, then P(A) = P(B). * O true O False

A: We have to find given statement is true or false..

Q: Which one of the following statements is True?

A: HERE USE SOME BASIC OF PROBABILITY AND TYPE OF DISTRIBUTION

Q: 5. If A = I then what is A?

A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…

Q: Let A = a22 Show that if d = a¡|a» – A2jɑ12 # 0, then 1 A- = a22 -a12

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Q: a) O False if A is false b) O True if A is false c) O False if B is true and A is false d) O None of…

A: the truth value of A or B is true when either A or B is true or both are true therefore consider the…

Q: (2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S…

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Q: Let A = {a,b} and B = {{a}, {b}, {a,b}}. Which of the following are true? OA CB ОА Е В OAN BA OAUB B…

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Q: Let A=[-1,7[.B={3,7,10,12} and C={}}. Then (A-B) Uc= * None of these O 1-1,3[U]3,7[ O 1-1,71 O…

A: Given that A={-1,7} B={3,7,10,12} C={7}

Q: 3n-m Let C = n, m EN- Then sup(C) = n?m

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Q: Prove: If A ∪ C = B and A ∪ D = B and A ∩ C = ∅ and A ∩ D = ∅, then C=D.

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Q: If A and B are independent, then

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Q: ao + 2a1 + a2 - azz²) = | da0 + 7a; + 5az 3ao + 5a, + 5a2, Let T(ao + a;7 - Determine ifT is…

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Q: Let A = {1, 4, 9} and B = { 1, 3, 6, 10}. A\B = B\A. A True B) False

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Q: Select the true statement (s) (one or more): {Ø}C Ø O øC {0} Ø s O0e Ø O (0} C {0} O Ø ¢ 1Ø}

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Q: Prove/Disprove: (¬A → ¬B) ® (¬C ^ A) = ¬(A v ¬B) → ¬(B –→ C)

A: Any two propositions are said to be equivalent if the truth value in each row of the truth table is…

Q: Let S = {Ø, 14, 1, a, 12, 17}. Then Ø C S. Select one: O True O False Let Sj = {a,b, {5}} and S2 =…

A: (1) S=ϕ,14,1,a,12,17 As ϕ is an element of S so ϕ⊆S is true. (2)  S1=a,b,5S2=b,5,c here the set 5…

Q: 3. Prove or disprove: If a | (b + c), then either a |b or a | c. h of the follo

A: Since you have asked for question number 3 , we have solved it for you.

Q: Determine whether each of the following eight statements are True or False: a. {1,2,3} C {1,2,3, Ø}…

A: Since you have asked a question with multiple subparts, we will solve the first three subpart…

Q: {2} € A and {3} E A implies that {2, 3} C A. Select one: O True O False

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Q: Let A = (C, d, f, g}, B = {f, j}, and C = {d, g). Cc C A True B False

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

Q: If A is nonsingular then A' is nonsingular. Select one: O True False

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Q: 4. Prove: Let a, b e Z*. If a|b and bla, then a = b or a = -b.

A: If a/b and b/a then prove that a=b , a=-b.

Q: Let X = {a, b, c} and S = {a, b}. Then 1. o(S) = S. 2. a(S) = {0, S} 3. a(S) = {0, S, X } 4. a(S) =…

A: See solution below. We used definition of sigma algebra.