The prior probabilities for events A1 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|A1)= 0.10 and P(B|A2) = 0.20. a. Are events A1 and A2 mutually exclusive? - Select your answer- 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 - b. Compute P(A n B) (to 2 decimals). Compute P(A2 n B) (to 2 decimals).

Q: The prior probabilities for events A1 and A2 are P(A1) = 0.35 and P(A2) = 0.55. It is also known…

A: a) Given that P(A1∩A2)=0, means that the probability that they happen together is zero that means…

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: The prior probabilities for events Aj and A2 are P(A1) 0.50 and P( = 0.50. It is also known that…

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Q: Compute the following probabilities: If Y is distributed N (-4,4), Pr (Ys - 6) = .1587 . (Round your…

A:

Q: If P(ENF) = 0.081, P(E|F) = 0.18, and P(FE) = 0.2, then (a) P(E)= (b) P(F)= (c) P(EUF)= (d) Are the…

A: P(E∩F)=0.081 P(E|F)=0.18 P(F|E)=0.2

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Recall the multiplication rule for conditional probabilities given events A and B. P(ANB) = P(A)P(B…

A: According to the given information, we have P(A1)=0.80P(B|A1)=0.25P(A2)=0.20P(B|A2)=0.10

Q: C and D are two events with P(C)=0.4,P(D)=0.5, and P(C|D)=0.4. Calculate P(D|C). Give your answer…

A: Given, C and D are two events with P(C)=0.4, P(D)=0.5, and  To find:

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: 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.…

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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: The prior probabilities for events Aj and Az are P(A1) = 0.40 and P(A2) = 0.60. It is also known…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Mutually…

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

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Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

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Q: U and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.49. Find: a. P(U and V) = b. P(U|V)= c.…

A: The given probabilities are PU=0.29;PV=0.49. And also events U and V are mutually exclusive events.

Q: Mary is playing a game where she flips a coin with probability of head = p. She wins $1 if the coins…

A: *Answer:

Q: Suppose that  A  and  B  are complementary events and you know that  P(A) = 0.41,  what is the…

A: It is known that  and A and B are complementary events.

Q: The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.40. It is also known…

A: We have to find probability based on simple set theory.

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 E and F are two events and that P(E) = 0.5 and P(FIE) = 0.3. What is F P(E and F)=…

A: We have given that,  If E and F are two events with,  P(E) = 0.5, P(F|E) = 0.3 Then,  P( E and F ) =…

Q: GIVEN P(E) =0.35 P(F) =0.08 AND P( E AND F) =0.402…

A: