assume that Pr[A]=0.2Pr[A]=0.2 and Pr[B]=0.3Pr[B]=0.3.   If A⊂BA⊂B, then Pr[A∪B]= If A∩B=∅A∩B=∅, then Pr[A∪B]=  If A∩B′=∅A∩B′=∅, then Pr[A∪B]=Pr[A∪B]=

Q: (c) For the set A = {[0], [6]} ≤ Z12 determine the set U = h(A). Then for the set UC Z18 determine…

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Q: Let u = Al 2 [R and v= find a and b such that au + bv [:] 3

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Q: Let u, ER" prove that ||ū + ï|| ≤ ||ū|| + ||v||

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Q: Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case,…

A:

Q: Let A = {x, y, z} and B = {w, x, y}. List the elements of ℘(A). Find ℘(A) ∩ ℘(B).

A:

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Q: Let A and B be sets. The symmetric difference of A and B, denoted A∆B, is the set A∆B = (A −B) ∪(B…

A:

Q: 1 Assume that Pr[A]=0.45 Pr[B]=0.65, and Pr[A∩B]=0.25  A. Pr[B Compliment ∩ A]= B. Pr[A Compliment…

A: Given, Pr[A]=0.45 Pr[B]=0.65 Pr[A∩B]=0.25

Q: Let a,b be two different points in R^n one. We notice that d=(a,b)>0 (why is that so ?). Prove that…

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Q: 2. Let U = {a + bx + cx2 + d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c…

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Q: 2. Let A = {a, b, c}, B = {x, y, z}, C = {r, s,t}. Let f : A → B and g : B → C be defined by: f =…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.