Two events A and B are having the following probabilities: P(A) = 0.43, P(B) = 0.36, P(A and B) = 0.23 Calculate P(B|A)?
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Two
P(A) = 0.43, P(B) = 0.36, P(A and B) = 0.23
Calculate P(B|A)?
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- Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) = 0.19; P(H AND G) = 0.1. Using this information: Find the complement of P (H AND G). Type answer with 0 in front of decimal to 2 places. If answer is like .2, type 0.2 not .2 or 0.20.Let A and B be mutually exclusive events, such that P(A) = = 0.9304 and P(B) = 0.0423 . Find the following probabilities: P(A and B)= % (Round the answer to 2 decimals) P(A or B)= % (Round the answer to 2 decimals)Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.25; P(H) = 0.3; P(H AND G) =0.1. Using this information: Find P(H OR G). Type answer with 0 in front of decimal to 2 places. If answer is like .2, type 0.2 not .2 or 0.20.
- 3. For two independent events, A and B, P(A)=D0.1 and P(B)-D0.5. Enter your probabilities as decimals. 3(a) P(A and B) = 3(b) P(A| B) = %3! 3(c) P(A or B) =A geologist has collected 19 specimens of basaltic rock and 19 specimens of granite. The geologist instructs a laboratory assistant to randomly select 33 of the specimens for analysis. (a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places.) P(x) (b) What is the probability that all specimens of one of the two types of rock are selected for analysis? (Round your answer to four decimal places.) (c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (Round your answer to four decimal places.)Answers must be in 4 decimals |1. Ben plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that he will not receive a speeding ticket? 2. Barangay Scout Fernandez has one fire truck and one ambulance available for emergencies. The probability that the fire truck is available when needed is 0.95, and the probability that the ambulance is available when called is 0.90. in the event that there is a fire in the barangay, find the probability that both the ambulance and the fire truck will be available.
- At the beginning of each day, a patient in the hospital is classifed into one of the three conditions: good, fair or critical. At the beginning of the next day, the patient will either still be in the hospital and be in good, fair or critical condition or will be discharged in one of three conditions: improved, unimproved, or dead. The transistion probabilities for this situation are Good Fair Critical Good 0.65 0.20 0.05 Fair 0.50 0.30 0.12 Critical 0.51 0.25 0.20 Improved Unimproved Dead Good 0.06 0.03 0.01 Fair 0.03 0.02 0.03 Critical 0.01 0.01 0.02 For example a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3%…Probabilities of event A and B are P(A)= and P(B)== respectively. If 3 1. P(AUB)=, determine, 10 %3D (a) whether A and B are mutually exclusive (b) whether A and B are independent.P(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) =
