Given that P(A)P(A) = 0.49, P(B)P(B) = 0.63, and P(A∣B)P(A∣B) = 0.46, find the probabilities: P(B∣A)P(B∣A) = P(∼A)P(∼A) = P(∼B)P(∼B) =
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Given that P(A)P(A) = 0.49, P(B)P(B) = 0.63, and P(A∣B)P(A∣B) = 0.46, find the probabilities:
P(B∣A)P(B∣A) =
P(∼A)P(∼A) =
P(∼B)P(∼B) =
P(∼A∣B)P(∼A∣B) =
P(∼B∣A)P(∼B∣A) =
P(A∣∼B)P(A∣∼B) =
P(B∣∼A)P(B∣∼A) =
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- (a) Let A and B be two events of the same sample space. The probability that the event A occurs equals 0.2 The probability that the event B occurs equals 0.3 The probability that at least one of the events A and B occurs equals 0.4. Find the probabilities: (i) Both the events A and B occur. (ii) The event B occurs, given that the event A has occurred.Given that P(A)P(A) = 0.62, P(B)P(B) = 0.27, and P(A∣B)P(A∣B) = 0.22, find the probabilities:P(B∣A)P(B∣A) = P(∼A)P(∼A) = P(∼B)P(∼B) = P(∼A∣B)P(∼A∣B) = P(∼B∣A)P(∼B∣A) = P(A∣∼B)P(A∣∼B) = P(B∣∼A)P(B∣∼A) =Use the tables provided to give your best estimate to the 6. probabilities: а. Р(Z> 1.9) b. P(ti, >1.9) c. P(Xs > 42.1) d. P(F,14 >1.8)
- Please explain step by stepUse the following probabilities to answer the question. Round to 4 decimal places.P(A)=0.54P(A)=0.54 , P(B)=0.41P(B)=0.41 , P(AandB)=0.05P(AandB)=0.05 .P(B∣A)=2b) Find zo for the following probabilities: iii) P(-ZoQ2: If P(A)=0.25, P(B)=0.7, P(B|A)=0.6, draw the Venn diagrams and determine the following probabilities: 1-P(AUB); 2-P (ANB); 3-P(ABC); 4-P(ACNBC); 5-P (AC U BC)first 2 parts pleaseWhen a woman goes for shopping she may buy several goods between them clothes and shoes. She has calculated the probabilities of her preferences as follows: The probability that she buys clothes, equals 0.60.6. The probability that she buys shoes and she does not buy clothes, equals 0.20.2. The probability that she buys both clothes and shoes, equals 0.20.2. Find the probability that in one shopping day she: (a) buys at least one of the goods “clothes” or “shoes”. (b) buys clothes and not shoes. (c) buys exactly one of the goods “clothes” and “shoes”. (d) buys at most one of the goods “clothes” and “shoes”.A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(x) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 0.09 0.21 0.33 0.53 0.90 0.99 1 P(X > 3) x < 0 0 < x < 1 1 ≤ x < 2 21. A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A and B1) b. If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A/B) c.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A1 and B) d.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A or B)Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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