1. If P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.3, find a) P(AB) and b) P(AUB).

Q: Given A = = [34] 5 2 compute 3.A.

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Q: If x is bin(n=5, P=0.3) then P(2)= Select one: a. 0.3087 b. 0.6013 c. 0.15 d. 0.2887 e. 0.3078

A: Given,n=5P=0.3P(X=x)=cxn px(1-p)n-x   ; x=0,1,2,....n

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: Suppose P(A and B) = x, P(BlA) = y, and P(B) = z. What is P(A or B)?

A: According to the given information in this question We need to find the following probability

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: Given P(E) = 0.14, P(F) = 0.43, and P(E and F) = 0.19, what is P(E or F)? Your Answer: Answer

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Q: Suppose P(E) = 0.39, P(Fc) = 0.53, and P(FEc) = 0.28. Find P(EF). A) 0.67 B) 0.08 C) 0.33 D)…

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Q: f P(A) = 0.18, P(B) = 0.35 and P(A ∩ B) = 0.07, find the following: a. P(A ∪ B) b. P(A\B) c. P…

A: Given that  P(A) = 0.18,  ;  P(B) = 0.35  ; P(A ∩ B) = 0.07 ;    We know that By addition theorem…

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: If P(A)=0.4, P (BA)=0.35, P (AUB) = 0.69, then P(B) 0.14 0.43 0.75 O 0.59

A: Given that  P(A)=0.4  , P(B|A)=0.35 and P(A U B)=0.69

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

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Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

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Q: If P(An B) = 0.3 find P(A U B°) O 1 0.3 0.7

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Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

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Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: Suppose that P(A|B) = 0.3, P(A n Bº) = 0.10 and P(A) = 0.25. What is P(B) =? O a. 0,1 O b. 0,5 О с.…

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Q: If P(n-1,3):P(n,4) = 1:9,Findn.

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Q: 0.39, -Compute the pmf of Y.

A: Let's the events be,The corresponding probabilities are,Let Y be the number of days beyond Wednesday…

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: c ?) n=D0 is it Conv or div--

A: Here is the solution

Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

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Q: 1 Given that P(A or B) = =, P(A) = 7' OA. OB. C. OD. 191 504 79 504 65 504 -| 1 21 8 7 and P(A and…

A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below :

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: If P(A) = 0.29 , P(B) = 0.32,  P(B | A) = 0.42 then P(A ∩  B) =

A: GivenP(A)=0.29P(B)=0.32PB/A=0.42

Q: A ∩ B = ∅, P(B) = 0.6, P(A ∪ B) = 0.6.  Find P(A).

A:

Q: If P (A) = 0.22, P (B \A) = 0.63 Find P( BC \A) Select one: O A. 0.37 OB. 0.97 Oc. 0.29 OD. -0.43 O…

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Q: If P(n-1,3):P(n,4)=1:9 ,find n

A: We have to find the value of n if Pn-1,3:Pn,4=1:9

Q: 0 5. 21 ) Let A=[¹²] and B= [¹ Find AB. 13

A: Given query is to find Matrix product.

Q: 6. Given that P(A) = 0.40, P(B) = 0.35, and P(AB) = 0.10, find; P(A) P(AUB) P(An B9) a. b. C.

A:

Q: e independent, and the P(A) = 0.4 and P(B) = 0.6 find: a) P(A ∩ B)                  b)P(A U

A: P(A) = 0.4 P(B) = 0.6 to find a) P(AnB) b) P(AuB)

Q: If P(A) = 0.5, P(B|A) = 0.2, P(AUB) = 0.7, then P(B) = 0.7 0.1 0.3 0.2

A: P(A)  = 0.5P(B|A) = 0.2P(A∪B) = 0.7P(B) = ?