Are X and Y independent? O No, p(x,y) # p(x)p(y) for x = 1, 3 and y O Yes, p(x,y) = p(x)p(y) for x = 1 and y O No, p(x,y) # p(x)p(y) for x = 0, 2, 3 and y O No, p(x,y) # p(x)p(y) for x = 0, 1, 2, 3 and y O No, p(x,y) # p(x)p(y) for x = 0, 1 and y O No, p(x,y) # p(x)p(y) for all pairs of x and y O Yes, p(x,y) = p(x)p(y) for all pairs of x and y %3D

Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: If x* + y* – xy+z – 3z = 1, then dz %3D a) None of these b)금 (423-y) c) y-4x3-4y3+x 2z-3 d) y-4x3…

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Q: 1. Let A = {a, b, c}, B = {1,2,3}, C = {x, y, z, w}, D = {4,5, 6}. Let the functions f : A → B, g :…

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Q: Evaluate (x-5y+z)ds, where S - Sz 10 x, 0 ≤x≤ 10, 0y ≤ 10.

A: Step 1: Step 2:

Q: = = xo 8, yo -1 y zo = 6 Xn+1 = xn +2yn Yn+1 = 2xn + yn Zn+1 = yn+2Zn

A: The objective of the question is to find the values of Xn+1, Yn+1, and Zn+1 using the given…

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Q: 2 and y = If x:y:z 4:6:9 and z = 45, then x =

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A: Given that

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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,…

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Q: ● Let A = [0, 1) and B = [1,2] U [1,2], then (2 pts) Find sup (An B), sup (A), and sup B

A: Given that and Now, recall  the fact  the definition of Supremum.Let (1) (2) For any there exists  a…

Q: 6. Determine whether each of the following statements is true or false. If the statement is true,…

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Q: 2 Let A B = -1 |0 and C = 7 Find x, y,z | 2 -3 such that AB =C.

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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 =…

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Q: i= (hxz ¹hize + ₂x¹x + h_) ×A

A: