Suppose the events A and B have the property that P(B) = 0.5 and P(A and...
Suppose the events A and B have the property that P(B) = 0.5 and P(A and B) = 0.25. Find the conditional probability that A will occur if it is known that B has occurred, P(A|B). Show the formula you use or the calculation you do, as well as your answer.
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Suppose the events A and B have the property that P(B) = 0.5 and
P(A and...
Suppose the events A and B are disjoint with P(A) = 0.5 and P(B) = 0.25....
Suppose the events A and B are disjoint with P(A) = 0.5 and P(B) = 0.25. Find the probability of A or B occurring, P(A or B).
Consider two events A and B. It is known that P(A) = 0.5 and P(B) =...
Consider two events A and B. It is known that P(A) = 0.5 and P(B) = 0.9. As well, it is known that A and B are independent. Calculate the following to two decimal places. (a) Calculate the probability of A AND B. (b) Calculate the probability of A OR B. Ž
Consider two events A and B. It is known that P(A) = 0.5 and P(B) 1....
Consider two events A and B. It is known that P(A) = 0.5 and P(B) 1. As well, it is known that A and B are independent. Calculate the following to two decimal places. (a) Calculate the probability of A AND B. 数字 (b) Calculate the probability of A OR B.
Assume that A and B are events in a probability space with the property that P(A)...
Assume that A and B are events in a probability space with the property that P(A) = 0.5, P(B) = 0.6, and P(A ∪ B) = 0.9. 1. Explain why A and B cannot be independent. 2. Is A favorable or unfavorable to B? (Remember that an event E is said to be favorable to F if P(F|E) > P(F); that is, if the knowledge that E occurred increases the plausibility of F.)
Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B)...
Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B) = 0.5 and P(A∩B) = 0.3. Express each of the following events in set notation and find the probability of each event: a) A or B occurs b) A occurs but B does not occur c) At most one of these events occurs
S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and...
S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5 What is the probability that (a) either A or B occurs? (b) A occurs and B does not occur? (c) both A and B occur? 4.) A forest contains twenty elk, of which five are captured, tagged and then released. Some time later, four elk are captured from this population. What is the probability that exactly two of these are tagged?...
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB)...
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
If P(A|B) = 0.4 and P(B) = 0.5, determine the intersection of events A and B....
If P(A|B) = 0.4 and P(B) = 0.5, determine the intersection of events A and B. A. 0.20 B. 0.25 C. 0.70 D. 0.90 Will give a thumbs up whoever can answer this correctly.
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60,...
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.05. If needed, round your answer to three decimal digits. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not? A and B _____ independent, because _____ P(A).
Suppose that A and B are mutually exclusive events. Complete parts (a) and (b) below a....
Suppose that A and B are mutually exclusive events. Complete parts (a) and (b) below a. Use the special addition rule to express PiA or B) in terms of PIA) and P(B) Complete the equation below P(A or B) b. Show that the general addition rule gives the same answer as that in part (a) Select the correct answer below. O A. Since A and B are mutually exclusive events, then the probability that both A and Boccur is a...
Consider two events A and B. It is known that P(A) = 0.5 and P(B) = 0.9. As well, it is known that A and B are independent. Calculate the following to two decimal places. (a) Calculate the probability of A AND B. (b) Calculate the probability of A OR B. Ž
Consider two events A and B. It is known that P(A) = 0.5 and P(B) 1. As well, it is known that A and B are independent. Calculate the following to two decimal places. (a) Calculate the probability of A AND B. 数字 (b) Calculate the probability of A OR B.
S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5 What is the probability that (a) either A or B occurs? (b) A occurs and B does not occur? (c) both A and B occur? 4.) A forest contains twenty elk, of which five are captured, tagged and then released. Some time later, four elk are captured from this population. What is the probability that exactly two of these are tagged?...
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
Suppose that A and B are mutually exclusive events. Complete parts (a) and (b) below a. Use the special addition rule to express PiA or B) in terms of PIA) and P(B) Complete the equation below P(A or B) b. Show that the general addition rule gives the same answer as that in part (a) Select the correct answer below. O A. Since A and B are mutually exclusive events, then the probability that both A and Boccur is a...
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