The prior probabilities for events Aj and Az are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A, n A2) = 0. Suppose P(B|A,) =0.20 and P(B|A2) = 0.05. a. Are events A1 and A2 mutually exclusive? No Explain. (i) P(A1 N A2) = 0 (ii) P(A1) + P(A2) = 1 (iii) P(A2) + P (A2 | A1) (iv) P(A2) + P(A2 | A1) Select your answer Compute P(A1B) (to 2 decimals). Compute P(A2N B) (to 2 decimals). c. Compute P(B) (to 2 decimals).

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

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Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

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Q: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given:        The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: NT #5 TRUE or FALSE Justify your answers. a. If two events A and B are mutually exclusive, then P(A)…

A: Given that We have to find true or false a...a. If two events A and B are mutually exclusive, then…

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

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Q: 10. P(A) = 0.5 and P(A + B) = 0.7, find P(B) if – %3D (i) A and B are independent events; (đi) A and…

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Q: 4. The probabilities for event A and B are P(A) = 0.4 and P(B) = 0.33. Find P(A U B) if a) A and B…

A: a). Given:P(A)=0.4P(B)=0.33 The formula of probability is: P(A∪B)=P(A)+P(B)-P(A∩B) As the events are…

Q: (iii) Given that the events A and B are such that : 3 P(A) = P(AUB)= and P (B) = p. 2' Find the…

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Q: Given that P(A) =, P(A U B) =. P(A uc) = and P(B UC) =. 10 P(B). P(C). Find, (a) (b) (c) P(A/C).…

A: Note: As per the instructions we are allowed to solve first three subparts. Kindly repost the other…

Q: A and B are two events. If P(A) =0.27, P(B) =0.30, P(A|B) =0.50 Find the P(A and B') ?

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.30 P(A | B) = 0.50

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4. Explain why P(A…

A: Given that Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4.  We have…

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

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Q: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).

A: Given data,P(A)=27P(A & B)=325P(B|A)=?

Q: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

A:

Q: Q 2 / b/ Suppose that the following probabilities for the two events A and B are as follows: P (A) =…

A: Given data is ,P(A)=0.5P(B)=0.7P(A∪B)=0.85

Q: If P(A) 04, P(B') =05 and P(A and B) 0 01 Which statement is correct? I P(B)= 06 %3D 2 P(A/B) 0 02 3…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

A: Solution-: Given: P(A¯)=0.70 , P(B)=0.20 and P(B) =0.20  (A and B are independent event) We want to…

Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

A:

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and…

A: P(A)=0.1P(B)=0.5events A and B are independent

Q: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

Q: Suppose A and B are mutually exclusive events P(A) = 0.3, P(B) = 0.7 Find P(A|B) = Options:…

A:

Q: Q3: b) Ahmed is taking Mathematics and Geology. His probabilities for getting grade of 90 (consider…

A: # Here Given that,     P(M)=0.70     P(G)=0.60     P(M∩G)=0.50

Q: Suppose P(A) = .70, P(B) = .18, and events A and B are mutally exclusive. Find:  a) P(A and B) b)…

A: The provided information are :P(A) = 0.70, P(B) = 0.18The events A and B are mutually exclusive.

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: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event