If P(A) = 1 P(B) = 2 and P(A U B) 11 find (i) P(A/B), (ii) P(exactly one of A and B occurs), 12 4 (iii) whether B is independent of A.

Q: Find the L(e2" (1+ t)²). ,2t a) + (s-2)* 1 b) + (s-2)2 2 (s-2)3 (s-2)2 c)+2 (s+2)³ (s-2)? d) +…

A: The following formulas can be used to obtain the Laplace transform.…

Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: If P(A) = P(B) = P(AB), show that P(AB + AB) = 0 [AB = An B]. %3D

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Q: 3. (a) 5e (b) 2e-21

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Q: O F = (W+Y+Z).(W+X+Z).(X+Y+Z).

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Q: Find P(C/A) and P(C) if p(A1) = 0.6 B1 0.8 0.7 C1 A1 C2 A2 0.7 B2 0.8 %3D [Hint: P(C/A) =…

A: Probability mass function P(X=xi) Simple facts about pmf  ∑(X=xi) =1iP(X=xi ∩ X=xj)=0 if i≠jP(X=xi ∪…

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

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Q: If P(A) = 0.52, P(B) = 0.45 and P(A u B) = 0.76, then P(B | A) = (Enter a number between 0 and 1,…

A: p(A)=0.52p(B)=0.45p(A∪B)=0.76p(B|A)=?

Q: (b) If r23= 1, prove that R² (23) = 112=113 and 01.23 = 01 (1-12).

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Q: If P(A)= 0.7 and P( B)= 0.6, find P (AUB) if: A and B are where Be is complement of B (not B)…

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Q: [2 1 2 3 and B := 5 Let A := 3 Find: (a) A +B (b) 3A – B

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Q: P(A) = 0.65, P(B) = 0.25, P(A|B) = 0.5 Find a) P(A ∩ B) b) P(A U B)

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Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

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Q: 1 [(3x)2-1]2

A: We will use partial fraction to solve the integral