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: Suppose P(A) = 0.24 and P(B’ ) = 0.48   (a) Find P(A ∪ B) if A and B are independent. (b) Find…

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Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: 2. Suppose A and B are 3 x 3 with det(4) = 3 and det(B) = -1. Compute the following. q (a) det(4¹)…

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Q: the second

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Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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Q: Let M(x) = V3x – 6 and N(x) 2 Find the following: 2 - c) (N o M)(5) d) (No M)(홍) e) (No M)()

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Q: Assume that P(A₁ N A₂ NA3) > 0. Prove that P(A₁ NA₂ NÃ3 Ñ A4) = P(A1)P(A2|A1₁)P(A3|A1 N A₂)P(A4|A₁…

A: We have conditional probabilitiesP() =       (i)P( =                       (ii)P( =…

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: 1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c)…

A: As per our guidelines we are suppose to answer only three sub parts.…

Q: Let a (1) b=(1 1 1), A= Determine each of the following: A (a) a (b) A b (c) 12 ⓇA (d) A 12 (e) AⓇA…

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Q: iii. P(AN B) = P(A) N P(B). iv. P(A) UP(B) C P(AUB)

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Q: P(A)=0.02 and p(C)=0.07 determine p(A u C), given that A and C are independent

A: It is given that:And, A and C are independent events.

Q: compute (2A)T − (3B)T

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

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Q: If I (F14)- s²+1 SO is given by? a) V(s? + 1)³

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Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,…

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Q: O d. Evaluate 3 dz (2+1)V교+2z -2 oa vSarsec (플) +c + C b. 3 arsec (1) + C C. 3 arsec (팔) +C V3 arsec…

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Q: T 8-1 H = 2 1 & T = 6 5 Find T TB] (NO guess and check on linear combinations!)

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Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: (p v q) → r = O (p v r)^(¬q v r) O (-p v r)v(q v r) O (-p v r)v(¬q v r) O (-p v r)^(¬q v r)

A: We will find out the required value.

Q: Find the product of (2x+ 3)(3x- 2) A 6x + 9x – 5 B 6x + 9x - 6 C6x +5x- 6 D 622 6x + 5x-5

A: (2x+3)*(3x-2)=?

Q: (P → (Q → R)) ↔ ((P → Q) → R)

A: Given expression is (P → (Q → R)) ↔ ((P → Q) → R) We know that, a sentence is said to be a tautology…

Q: Find S T(1– a²)+ 5* + 5m(1+ a²)| dæ.

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Q: In a random hour, the number of call attempts N at a telephone switch has a Poisson distribution,…

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Q: If, (V₁ X V₂) · V3 = 6.5 then what is (V3 X V₁) - V₂? ○ (0,0,0) Cannot be found with the given…

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Q: (A) I = and (B )I = . Find 2A D - BD O O O none of the above

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Q: 1. Let -1 3 [1 2 3] A = 2 1 4 [1 2 3] 0 1 2 -4 1 and C 2 1 -3 Find the following: (a) 24 (b) 2АB (c)…

A: Solve by matrix operations

Q: (5) {1,2} C P({1, 2}).

A: Given  set is {1,2},  we knew that power set of a given set is set of all subsets of the given set.…

Q: P=1+3 xy 0, 24. It is known that the possible values of P are (1) - 4 (2) 0 (3) 2 (4) 7 If (A): (1);…

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Q: P(A) = 0.6, P(B) = 0.4, P(A∩B)= 0.2 a) Find P(A given B)     b) P(B|A)

A: Given data: The given probability of A is P(A)=0.6. The given probability of B is P(B)=0.4. The…

Q: (7) Let X = P(2) and E-x)= E(5– 5x), then 2 is. (a) 25/26 (b) 26/25 (c) 12/26 (d) 26 (e) None of…

A: Given X~Pλ and E15x=E5-5x

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: A number is randomly selected from the set {1,2, ·.. , 23!} (note that there is a factorial!). For k…

A: d) Given, Ak = selected number divisible by kP(Ak )=total numbers divided by kTotal numbers=…

Q: Suppose x = 1 and x11 = 1. Find the value of 11 Ë n=1 3 1+xn+x²n

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