P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) = P(B|A¯) = P(A¯|B) =
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P(A)=0.64,P(B)=0.45,P(B∪A)=0.92
Find the following probabilities.
P(A∩B) =
P(B|A¯) =
P(A¯|B) =
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- Rhett owns a cupcake bakery and is analyzing his sales of cupcake delivery orders. Based on his daily sales of delivery orders for the past month, he has already calculated the probabilities, ?(?),P(X), for the number of boxes of cupcakes, ?,X, purchased by a single customer in a single day, as shown in the table. ?X 1 2 3 4 5 ?(?)P(X) 0.75 0.05 0.10 0.05 0.05 Calculate the mean number of boxes of cupcakes, ??,μX, sold and delivered per person in a single day. Express your answer to two decimal places. ??=μX= If a box of cupcakes costs $40.00$40.00 and the flat-rate delivery fee is $7.00$7.00, calculate the mean sales per person, ??,μY, that the cupcake shop makes in a single day for delivery orders. Express your answer to the nearest cent. ??=$μY=$Q 10 A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 80% of bags from A arrive undamaged, while 85% of the bags from B arrive undamaged. Give the probability that a damaged bag is from the supplier A. (P(A|D))For a recent evening at a small, old-fashioned movie theater, 30% of the moviegoers were female and 70% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 85% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: 65% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let r denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses.
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- Q7 (b) some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example 53.20% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 6.800% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?first 2 parts pleaseJavier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 30% of the time, four events 25% of the time, three events 25% of the time, two events 10% of the time, one event 5% of the time, and no events 5% of the time.(a) Find the probability that Javier volunteers for less than three events each month. P(X < 3) = (b) Find the expected number of events Javier volunteers in a month. dont round
- For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3DP(A)=0.55,P(B)=0.58,P(B∪A)=0.86 Find the following probabilities. P(A∩B) = P(B|A) = P(A|B) =
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