For two independent events, A and B, P(A) = .3 and P(B)= .5. a. Find P(ANB)=| b. Find P(A|B)=|
Q: Suppose that A and B are independent events such that P(A) = 5/8 and P(B) = 4/7. Find P(A&B).
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Q: Let A and B be events with P(A) = 0.5 and P(A∩Bc) = 0.4. For what value of P(B) will A and B be…
A: P(A)=0.5 and P(A⋂Bc)=0.4. The events A and B are independent, if P(A⋂B) = P(A) P(B).
Q: If A and B are independent events, P(A)=0.25, and P(B)=0.79, what is P(B|A)?
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Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…
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Q: For two events E and F, P(E) = 0.30, P(F) = 0.40, and P(E U F) = 0.70. Are E and F mutually…
A: Introduction: The occurrences that cannot occur or cannot occur at the same time are said to be…
Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.7, what is Pr[A∩B′]?
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Q: If A and B are any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?
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Q: Suppose that A and B are mutually exclusive events such that P(A) = 0.25 and P(B) = 0.40. Determine…
A: Special Addition Rule:
Q: If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?
A: If the event A and B are independent
Q: Suppose that A and B are two events such that P(A) + P(B) < I. a What is the smallest possible value…
A: Given, A and B are two events such that P(A)+P(B)<1
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: Let A and B be events with P(A) = 0.8 and P(A ∩ B) = 0.2. For what value of P(B) will A and B be…
A: Given, P(A) = 0.8 P(A ∩ B) = 0.2 P(B)=?
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: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…
A: Given , Consider, If A and B are independent events, Then , P(A) . P(B) = P ( A ∩ B ) Also , P (…
Q: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).
A: Consider that A and B are two dependent events.
Q: If A and B are independent events, P(A) = .4, and P(B) = .3, find P ( A ∩ B ) = .
A: Given:- A and B are independent events. PA=0.4PB =0.3 We have to calculate PA∩B=?
Q: Decide whether or not the two events in question are independent or whether it is not possible to…
A: Two events C and D are said to be independent if,
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: 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: Consider two events, A and B. Suppose that P(A)=.40,P(B)=.50, and P(A∩B)=0.2 . Calculate the value…
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Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).
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Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)
A: Given: P(A) = 0.50 P(B) = 0.30
Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E and F) = 0. Are the events E and F are mutually exclusive?…
A: It is given that P(E) = 0.3, P(F) = 0.5 and P(E and F) = 0.
Q: Suppose that A and B are events for which Р(A| B) — 0.8, Р(В A) — 0.15, and Р(A) — 0.2. P(B) =
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Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…
A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.
Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?
A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…
Q: For events A and B, P(A) = 0.24 and P(B) = 0.4. If A and B are independent events, then what is the…
A: We have to find the probability.
Q: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?
A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85
Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…
A: Given: P(A)=0.26 P(B)=0.76
Q: If A and B are two mutually exclusive events with P(A') = 0.659 and P(B) = 0.273, what is the value…
A: Solution: Given information: Let A and B are mutually exclusive events. P(A')= 0.659 P( A) = 1-…
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: Suppose that A and b are events such that P(A) = 0.75 and P(A&B) = 0.25. Determine P(B|A).
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Q: Let X and Y be the two possible events of an experiment where, p(X) = 0.5, (XUY) = 0.9 and p(Y) = p.…
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Q: Suppose that E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…
A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…
Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?
A: From the provided information,
Q: The events A and B are mutually exclusive. If P(A)=0.6 and P(B)=0.2, what is P(A or B)?
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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: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the largest possible value of…
A: In this question, we have the value of P(A) = 0.71 and P(B) = 0.44 and we have to find the maximum…
Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…
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Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of…
A: According to the given question, A and B be two events with probability P(A)=0.71 and P(B)=0.44…
Q: If A and B are independent events with P(A)=0.6 and P(B)=0.2, find P(A AND B).
A: P(A) = 0.6 P(B) = 0.2
Q: Suppose that A and B are independent events with P(A) = .40 and P(B) = .70, then P (B'/A') is
A: Given information- P(A) = .40 P(B) = .70 We have to find P (B'/A'). We know that- P(A’) = 1 - P(A)…
Q: Let A and B be two events, and P(A) = 1/2, P(B) = 1/5 and P(B|A) = 1/3. Find the value of P(A|B).
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Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 3/8. Let P(B) = P. For what values…
A: Given data, P(A) = 1/6 P(A or B) = 3/8 P(B) = P p=?
Q: suppose two events A and B are independent, with P(A) = 0 and P(B) = 0. by working through the steps…
A: 1) Condition for Independence: If A and B are independent events, then P(A and B)=P(A)*P(B).…
Q: If A and B are independent events, P(A)=0.28, and P(B)=0.67, what is P(B|A)?
A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…
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