(a) For two events, A and B, P(A) = 0.5, P(B) = 0.4, and P(ATB) = 0.2. Compute P(A|B) and P(B|A). Are A and B independent events (explain)?

Q: Suppose A and B are two events, P(A)=0.38, P(B)=0.42 and P(A and B )=0.26 Find the P(B|A) Round…

A: Answer: From the given data, P(A) = 0.38 P(B) = 0.42 P(A and B) = 0.26

Q: Two events, A and B, are said to be independent if: a. Р(BA) 3D Р(А) b. РАВ) — Р(В) c. P(An B) = PA)…

A: Condition for independence: If A and B are two events, then P(A and B)=P(A)*P(B). Consider option a)…

Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive?

A: Explained below

Q: Consider two events, A and B, such that P(A) = 0.6, P(B) = 0.7 and P(A intersection B) = 0.4. What…

A: There are two events A and B, and their probabilities are shown below;.

Q: Consider two events with P(B)= .4 and P(A or B)= .9 and P(A and B)= .2  Find P(notA).

A: GivenP(B)=0.4P(A∪B)=0.9P(A∩B)=0.2

Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: The P(A)=0.48P(A)=0.48 and the P(B)=0.06P(B)=0.06. Events AA and BB are mutually exclusive. What is…

A: Given, P(A)=0.48 P(B)=0.06 P(A or B)=?

Q: For two events, A and B, P(A) = .5, P(B)= .4, and P(ANB) = .2. a. Find P(A|B). b. Find P(B|A). c.…

A: It is given that P(A)=0.5, P(B)=0.4 and P(A∩B)=0.2.

Q: Consider two events, A and B, such that P(A) = 0.60, P(B) = 0.35, and P(A and B) = 0.25. Are events…

A: Consider the two events A and B. PA=0.60 PB=0.35 PA∩B=0.25

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: Given P(A) = 0.03, P(B) = 0.42, and P(A or B) = 0.11, are events A and B mutually exclusive?

A: Given: P(A) = 0.03 P(B) = 0.42 P(A or B) = 0.11 Objective of the question is to find if A and B are…

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

Q: Two events, A and B, are such that P(A) = 0.08, P(B) = 0.07 and P(B|A) = 0.25. (i) Find P(B), P(A n…

A:

Q: If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) = Question 27…

A:

Q: Given that P(A) = 0.10, P(B) = 0.17, and P(A and B) = 0.0230, are events A and B independent?

A: P(A)=0.10P(B)=0.17P(A and B)=0.0230

Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…

A:

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: Given P(A) = 0.59, P(B) = 0.51, P(C) = 0.09 and that events A, B, and C are independent, what is…

A:

Q: Suppose that A and B are two events for which P(A) = 0.29, P(B) = 0.74, and P(B|A) = 0.42 Find each…

A:

Q: Given P(A) = 0.141, P(B) = 0.130, and P(C) = 0.057, and that events A, B, and C are mutually…

A: P(A) = 0.141 P(B) = 0.130 P(C) = 0.057 Events A, B, and C are mutually exclusive i.e.…

Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

A:

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: 0.13, find P(B). If A and B are events with P(A) = 0.7, P(A OR B) =0.77, and P(A AND B) %3D %3D

A: Given information: Two events A and B. The probability of occurrence of event A, P(A)=0.7. The…

Q: Let A and B be events with P(A)=.07, P(b)=.44, and P(B|A)=8 P(A and B)= ?

A: Given problem  Given that A and B be events P(A) = 0.07 P(b) = 0.44 P(B|A) = 8 We have to find P(A…

Q: If two events are independent with P(A) = 0.6 and P (B ) = 0.35 Is A and B are complementary events…

A: Given: P(A)=0.6 P(B)=0.35

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

A:

Q: Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

A: Given that  P(A)=0.13 P(B)=0.02 P(A or B)=0.15 Definition of Mutually Exclusive- Two events are said…

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)​=?