3. Let A = {x,y, {x, y}}. a. Is {x, y} CA ? b. Is {x, y} € A ? Is {y} C A ? C. d. Is {y} € A ?

Q: Let X={a,b,c} and Y=∅. What is X∪Y?

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Q: Given n(S)=31n(S)=31, n(T)=18n(T)=18, and n(S∪T)=45n(S∪T)=45, determine n(S∩T)n(S∩T).

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Q: 2 1 0 A' =-1 0 1 ise Ek(A) matrisi aşağıdakilerden hangisidir? 3 1 55 Ek(A) =? 12:29

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Q: Aa he aing n montnomy d hmn'e. tn0tc ee y onty w OA AHAM The tyD

A: Given  Mean=mu=0 Standard deviation=sigma=1.00 Find P(-2.11<x<1.52)

Q: Given that P(A/B) = 0.5, P(A)=0.4, and P(B) = 0.44 , then P(A/B) is equal to ?

A: Given : P(A|B) = 0.5 P(A) = 0.4 P(B) = 0.44

Q: If w = e-(r*+s"), r = uv, s = u + 2v, find -

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Q: If "C, = "C,, then n is equal to 4.

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Q: Given that n(S) = 44, n(A) = 15, n(ANB) = 7, and n(A u B) = 24, then n(B) = %3D %3D %3D

A: Probability is defined as a number between 0 and 1 representing the likelihood of an event…

Q: Are (D+(m*13/12))/2 and ((D+M)/2) +2.5 and [D+ (m+5)]/2 equivalent? If so, show how. If not explain…

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Q: showo haw [co(t)+ 3sine) ]= vioet coslt- antan( 3)

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Q: Given that, for some a, b, c, d, e, ƒ, g, h, i, k € R, la b d e S = 3, e 19 h i

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Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: Use the Cayley digraph in Example  to evaluate the producta3ba-1ba3b-1.

A: The Cayley digraph of Q4=<a,b|a4=e, a²=b², b-1ab=aᶟ>.   As given Cayley digraph, we can start…

Q: 3. Given: WXZ ZYXZ W Conclusion: ?

A: 3) Given: ∠WXZ≅∠YXZ     To find: Conclusion and reason

Q: If P={a,d,e} , and R={ t,b,c} what is PUR

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Q: O (x y) → (-y, x) O (X, y) → (x, -y) O X y) → (-x, y) O (X, y) → (y, x)

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Q: 5. In the questions below, suppose A = {a,b,c} and B = {b,{c}}. Mark the statement TRUE or FALSE (a)…

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Q: E O a. Odette is not eating. O b. Lancelot is not hungry. O C. Lancelot is not eating. O d. Odette…

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Q: What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 3 1 4 O 2

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Q: O Eristane and Uniqjuere s The seem doces felbuing IP does follouing IVP dy soläbón neesay to haue…

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Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

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Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

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Q: Let p, q,r E K be given with p an

A: Given, p, q, r∈K be given with p and q not both zero. To prove that the set of allxy∈∏ satisfying…

Q: In (R, Tcoc), if A = {0, 1} then A' = %3D O {0, 1} O (0,1] OR-0,1] OR

A: Any complement of a countable set is open. That idea take us to the answer.

Q: Let a, b, c € Z. If c divides a+b, then e divides both a and b.

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Q: Consider, C = {x: x = 3n, 1 ≤ n ≤ 4, n ∈ N} D = {x: x = 2n, 1 ≤ n ≤ 6, n ∈ N} What is C ∪ D?

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Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: х — у 3. fx, y, г) y? + z? а. f(3, —1, 2) b. с. d. f(2, 2, 100)

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Q: v 26. Show that if a < c < b, then C-a b favg [a, b] = b favg [a, c] + b favg [C, b] a |

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Q: 17. Draw a Venn diagram that illustrates the following relationship when S = {eBay, Google, Amazon,…

A: Given that S={eBay, google, amazon, OHaganbooks, hotmail} A={Amazon, hotmail} B={eBay, google,…

Q: Suppose that X,Y⊆UX,Y⊆U. If Pr(X)=0.29Pr, Pr(Y)=0.23 and Pr(X∩Y)=0.08 what is Pr(X′∪Y)

A: consider the problem by Venn diagram Here Y is the subset of X And ABCD is the universal set  So…

Q: In (R, Tµ), if A = (1,3) n (Q – Z) then A = - %3D O a. [1,3] n (Q- Z) O b. R O c. [1,3] – {2} O d.…

A: Given that, In ℝ,ζυ, if A=1,3∩ℚ-ℤthen calculate the value of A.

Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: If S., t, = \n(n+1)(n + 2)

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Q: e tankx - Scek'sx ethix-= csch?

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Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

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Q: х (и, и) — (и —u?, и? + 1, u?)

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

Q: If "C,, = "C, then n is equal to 4.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: In (R, t,), if A = { :n E N}, then 3+n I(А) —

A: option (C).

Q: Let X1,., X, N(u, o?). iid N(H, o?). Find E(), if ju = X1 + (X2 + + X(n %3D 2(n-3) 17 16 4 O 17(n-2)…

A: Given that, E(X1)= E(X2)= ......E(Xn)= mu

Q: If ​n(A)equals 7 ​, ​n(B)equals 10   and​ n(A intersect   ​B)equals 3 ​, what is​ n(A union…

A: Suppose that two sets are A and B.

Q: 1) X, Y,2 O, elsewheve

A: Given,         f(x, y, z)=kxy2z0&lt;x or y&lt;1, 0&lt;z&lt;20elsewhere

Q: yi y2 1 Total .38 .17 .55 1 .14 .02 .16 2 .24 .05 .29 Total .76 .24 1.00 Are Y1 and Y2 Independent?…

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Q: If N{A} 7 and N{B) 7 and N(A U B) = 7, how are A and B related?

A: Given:NA=7NB=7NAUB=7NA∩B=?Formula:NA∪B=NA+NB-NA∩B

Q: 2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

A: Given that, P(A U B) = 0.6 P(A) = 0.4

Q: Is the following statement true or false? Justify answer. If x, y∈(X, d) and d(x, y)>0, then x ≠ y.

A: To find- Is the following statement true or false? Justify answer. If x, y ∈ X, d and dx, y &gt; 0,…

Q: In (R, Tµ), if A = (2,4) N (Q – Z) then A = O a. [2,4] N (Q Z) | O b. [2,4] О с. [2,4] — (3} O d. A…

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Q: Given U={q, r} and V={s, t}, then: uV = {(s,q),(t,r),(r,s),(t,q)}

A: By the relation from linear algebra  we can solve this question.