When an experiment is conducted, one and only one of three mutually exclusive events S₁, S₂, and S₂ can occur, with P(S₂) = 0.4, P(S₂) = 0.5, and P(S3) = 0.1. The probabilities that a fourth event A occurs, given that event S₁, S₂, or S, has occurred, are P(A|S₂) = 0.4 P(A|S₂) = 0.2 P(A/S) = 0.1. If event A is observed, find P(S₂1A). (Round your answer to four decimal places.) P(S₂|A) =

Q: Let two events E and F with the following probabilities P(E)=0.25, P(F) = 0.4 and P(E│F)= 0.5. Find…

A: P(E)=0.25, P(F) = 0.4  P(E│F)= 0.5 P(E│F)= P(E∩F)P(F) 0.5 = P(E∩F)0.4 P(E∩F)=0.4×0.5 = 0.2

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (AN B) = 1/4.…

A:

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P(ΑB) - 1/4. Find…

A: For the first question option(C) nominal is correct answer because Nominal data :- It is a…

Q: We have the following data: P(A) = 0.46, P(A union B) = 0.72. If A and B are mutually exclusive…

A: Answer: From the given data, P(A) = 0.46 P(A∪B) = 0.72 A and B are mutually exclusive events

Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

A: There are 5 digits that need to be used for required number formation. The number less than 150…

Q: If E and F are two disjoint events with P(E) = 0.26 and P(F) = 0.47, what is P(E ∪ F)? (Enter answer…

A: Given,P(E) = 0.26 and P(F) = 0.47Using formula, ;for A and B are two disjoint events.

Q: Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car)…

A:

Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?

A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…

Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

A:

Q: If A and B are independent events such that P(A) = 0.4 and P %3D

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: If A, and B are two independent events such that P(A) = 0.6 and P(B) = 0.5. Then P(AUB) is equal to…

A: Given  P(A)=0.60, P(B)=0.50 and P(AUB)=?

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(F|E) = 0.2. What is P(E and F)? P(E…

A: GivenP(E)=0.5P(F|E)=0.2

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (A N B) = 1/4.…

A: For events A and B, it is given that, P(A) = 1/2, P(B) = 3/8, and P(A ∩ B) = 1/4.

Q: Given that P(A) = 0.09 P(B) = 0.20 and P(A and d B)=0.018 , are events A and independent ?

A: Given: P(A) = 0.09 P(B) = 0.20 P(A and B)=0.018 The objective is to find if events A and B are…

Q: Suppose that A and B are two events. P(A) =0.32, p(B) = 0.41 and P(A and B )= 0.22 Calculate…

A: Answer: From the given data, Suppose that A and B are two events, P(A) = 0.32 P(B) = 0.41 P(A and B)…

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: Q. 2 If A and B are two events associated with an experiment and P(A) = p. Find the choice of p for…

A:

Q: The probability of two outcomes co-occurring is the product of the probabilities of each outcome…

A: The sum of all probabilities is  0.0278 + 0.1389+0.1389 +0.6943 = 0.9999

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?…

A:

Q: When A and B are any two events such that P(A) = 0.55, P(B) = 0.41 and P(AUB) = 0.4 then P(AN B) =…

A: We have to find given probability.

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

A:

Q: If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?

A: The given probabilities are PA=0.11,PB=0.74. The events A and B are independent.

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Suppose that AA and BB are two independent events for which P(A)=0.18 and P(B)=0.8 . Find each of…

A: Two events A and B are said to be independent if; P(A and B)=P(A)×P(B)

Q: Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: If A and B are independant events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A: It is given that A and B are independent. P(A) = 0.295, P(B) = 0.32