Exercise 04.30 (Conditional Probability) Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(ANB) = 0.40. a. Find P(AB) (to 4 decimals). b. Find P(BA) (to 4 decimals). c. Are A and B independent? Why or why not? No because P(AB) is not equal to P(A).

Q: Example 8.7 X is a registered contractor with the government. Recently, X has submitted his tender…

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A: It is given that P(U)=0.33 and P(V)=0.54.

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Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

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Q: Let A and C be two independent events such that P(A) 0.2 and P(C) 0.3 P(ĀNC) = 0.24 None of other…

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Q: Find P(B). (Give your answer correct to two decimal places.) A and B are independent events, P(A) =…

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Q: Find P(A or B or C) for the given probabilities. P(A) = 0.36, P(B) = 0.24, P(C) = 0.16 P(A and…

A: P(A)=0.36P(B)=0.24P(C)=0.16P(A and B)=0.11P(A and C)=0.03P(B and C)=0.07P(A and B and C)=0.01

Q: Find P(A and B). (Give your answer correct to two decimal places.) A and B are independent events,…

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Q: Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.32 and…

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Q: Two events A and B are such that P(A) = 0.19, P(AN B)= 0.15, P(A or B ) = 0.99. Find P(A N BC).…

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Q: Let A, B be independent events with P (A) = P (B) = 1/3. Find the probability that exactly one of…

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A: Given two events A and B, P(A) = 0.2P(B) = 0.3P(A U B) = 0.4P(A ∩ B) is the probability of event A…

Q: Find the probability​ P(E or​ F) if E and F are independent events, ​P(E)=0.54, and ​P(F)=0.37.

A: Given : P (E) = 0.54 P (F) = 0.37

Q: Events A and B are mutually exclusive with P(A) equal to 0.331 and P (A or B) equal to 0.727. Find…

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Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…

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Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

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Q: Two events A and B are such that P(A) =0.1, P(B)=0.4 and P(AUB)=0.3. Find the value of P(AUB). 0.2…

A: Given:PA=0.1, PB=0.4 and PA∪B=0.3 Then,PA∩B=PA+PB-PA∪B=0.1+0.4-0.3=0.2

Q: U and V are mutually exclusive events. P(U) =0.25; P(V) = 0.4. Find: A. P(U AND V) = B. P(U|V) C.…

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Q: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…

A: Answer: From the given data, P(A) = 0.32  and  P(B) = 0.28 If events A and B are independent events

Q: Determine P(B|A), If A and B are the events with P(A) = 0.31, P(B) = 0.28 and P(AUB) = 0.51

A: Answer: From the given data, If A and B are two events, P(A) =0.31 P(B) = 0.28 P(A U B) = 0.51

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)-0.70. Find P(ANB) and P…

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A: Result (1)A and B are independent iff P(A and B)=P(A⋂B)=P(A)*P(B)  (2) two events and B are mutually…

Q: Assume that the events A and B are independent with P(A) = .30 and P(B) = 40. The probability that…

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Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.6. Find:  a.  P(U and V) =  b.…

A: When A and B are mutually exclusive events,  then  P(A∩B)= 0 P(AUB)=P(A or B) = P(A)+ P(B)-…

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A: Events A and B are independent.