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An observational study investigates the connection between aspirin use and three vascular conditions - gastrointestinal bleeding, primary stroke, and cardiovascular disease - using a group of patients exhibiting these disjoint conditions with the following prior probabilities: P(GI bleeding) = 0.2, P(Stroke) = 0.3, and P(CVD) = 0.5, as well as with the following conditional probabilities: P(Aspirin | GI bleeding) = 0.09, P(Aspirin | Stroke) = 0.04, and P(Aspirin | CVD) = 0.02.
(a) Calculate the following posterior probabilities: P(GI bleeding | Aspirin), P(Stroke | Aspirin), and P(CVD | Aspirin).
(b) Interpret: Compare the prior probability of each category with its corresponding posterior probability. What conclusions can you draw? Be as specific as possible.
A marketing survey involves product recognition in New York and California. Of 600 New Yorkers surveyed, 195 knew the product while 150 out of 614 Californians knew the product.
question the associated press reports that the mean trading volume for equity and index options contracts was 3.6
1.the daily flow rate of contaminant from an industrial plant is modeled by a normal random variable with a mean value
The smallest quantity in a cell is minus 35, but two different cells with minus signs have 35 units in them. What problem will this cause and how should this difficulty be resolved?
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what is the probability two individuals chosen at random from a classroom of 30 students are both females if there are
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The fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate?
145 out of 165 people who lost luggage on that airline were reunited with the missing items by the next day. Does this cast doubt on the airlines claim?
At 1 excavation site 8641 pot shards have been found that have not presently been cleaned also identified. Define the probability.
Find the mean, median, and range for each of the two data sets.Find the mean, median, and range for each of the two data sets.
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