R Let ) be a o- Algebra on X. Assume that y, u :2→ [0, 0) are two measures onX.Then - 3y + 2µ is not a measure on X. . 5y + u is a measure on X. 2y - 3µ is a measure on X. 1Y-H is a measure on X.

Q: assume that Pr[A′]=0.55, Pr[B]=0.35 , and Pr[A′∩B]=0.2. (1) Pr[A∩B]=Pr[A∩B]=   (2)…

A: Solution : Given information; P(A')=0.55 P(A)=1-P(A')=0.45P(B)=0.35 and P(A'∩B)=0.2

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Q: Q Let > be a o- Algebra on X. Assume that y, µ:)→ [0, x) are two measures on X.Then a. 3y – 2µ is…

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Q: Let fi = 1+2x+ 3x², f2 = 1+ 3x + 5æ². %3D Let g1 = 2+3x + 4x², 4x2. 92 = 3 + 2x +2x?, 93 = 1+4x +…

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Q: 2) What rule maps ABC onto A'B'C'? A. (x,y) → (x+4, y = 4) B. (x,y) → (x-3, y + 5) 4 (2-0)-²00) AY 5…

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Q: (d) Z[ /2] is a field.

A: As you asked for option D.

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Q: [X2 - X1] X3 - X2 , then L( o D= X3- X1 X1 1 Let L:R3 → R be a linear operator such that L( x2 X3…

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Q: a) Define AAB = (A − B) U (B − A), where A, B are any two sets. Show that (ΑΔΒ)ΔC = ΑΔ(ΒΔC).

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Q: Let T={[a, ) : a€R}, then T is not Borel algebra.

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Q: Forz € C, define the linear operator T₂ : C → C by T₂(w) = W. Characterize those z for which Tz,…

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Q: EHET X1 X2 - X1 Let L:R3 → R³ be a linear operator such that L( x2 ) =| x3- X3 - X2 , then Ker(L)…

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Q: Q Let ) be a o- Algebra on X. Assume that Σ [0, 0) are two measures on X.Then a. 3y – 2µ is not a…

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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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