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A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 80% of the time when the person has the virus and 5% of the time when the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive."
(a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected.
(b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected
Find the ninety-five percent confidence interval for the standard deviation of the ounces of coffee that a machine dispenses in 12-oiince cups. Suppose the variable & normally distributed.
Find the angle between the diagonal of a cube of side length 3 and the diagonal of one of its faces. The angle should be measured in radians.
Tom,Bill,John,and Ed are running for school president.The person in second place automatically becomes vice-president.how many possible outcomes are theres in the sample space?
Find the area bounded by the graphs- f(x) = x2 and g(x) = x3
A market research organization has found that 40 percent of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, Find the probability that fewer than 500 will refuse to cooperate?
An office building worth $1million when completed in 2005 is being depreciated linearly over 50 years. What will be the book value of the building in 2010?
What is the probability that during a 5-minute interval no one will enter the store? What time interval is such that the probability is 1/2 that no one will enter the store during that interval?
The percentage of households with a television tuned in to ad-supported cable increased linearly from 24.6% in 1995 to 42.5% in 2009. The percentage of households with a TV tuned into a major network decreased linearly from 47% in 1995 to 32% in 2..
A self-employed worker earned $47,000 during the year. The FICA tax for Social Security is 6.2% and the FICA tax for Medicare is 1.45%.
a balloon rises straight up from the corner of 69th and normal at 10 ftsec. what is the rate of change of the angle of
Find the premium for A 3-year endowment insurance policy issued to (60) provides for death benefits, at the end of year of death, of 1000 if death occurs in the first year and 2000 if death occurs in the third or second years.
Two ships, A and B, leave a port at noon. Ship A travels north at 6.00 km/h, and ship B travels east at 8.00 km/h. How fast are they separating at 2 P.M.?
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