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Your neighbor wants to check whether he has a particular disease. 0:1% of the population have the disease. There are two tests for the disease: Test A and Test B. If a person has the disease, then Test A and Test B say "YES" with probability 0.95 and 0.90, respectively. If a person doesn't have the disease, then Test A and Test B say NO" with probability 0.96 and 0.98, respectively. The two events "Test A says YES" and "Test B says YES" are conditionally independent given that a person has the disease, and are also conditionally independent given that a person does not have the disease. Your neighbor takes both tests, and both tests say "YES". What is the probability that your neighbor has the disease? Show your work.
A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
a rectangular plot of land is to be seeded with grass. If the plot i 12m X 18m and a 1 kg bag of seed is needed for 85m squared of land, how many bags of seed are needed.
A group of investors obtained a loan of $200,000 to buy a small business. The monthly mortgage payment was based on 25 years at 8%. Find the monthly mortgage payment. Use the Monthly Payment Table. Round to the nearest cent.
This problem is in reference to students who may or may not take advantage of the opportunities provided in QMB such as homework. Some of the students pass the course, and some of them do not pass
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
What is the Sample Space? and Find the sets corresponding to the events: A = "hand is in the first four hours." B = "Hand is between 2nd and 8th hours inclusive"; and D = "hand is in an odd hour"?
A submarine dives at an angle of 12 degrees to the surface of the water. The submarine travels at a speed of 740 feet per minute. About how deep is the submarine after 5 minutes?
Probability : Selection Without Replacement and Stirling's Formula, A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
Determining the maximum area of a Norman window with the fixed perimeter of 16 feet - Evaluate the dimension of a Norman window of maximum area if the total perimeter is 16 feet.
A jeweler has three small solid spheres made of silver, of radius 6 mm, 3 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
A rectangular is to be fenced off and divide in two by another fence parallel to one side of the playground. 720 feet of fencing is used. what are the dimensions and maximum area.
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