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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
A poster of area 24,000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area.
find the density of given expression using theorem.let x is the uniform on 0 1. and let y radic xnbsp. find ey by a
According to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 30 mph and at 140 m..
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
The two steps in preparing chocolate candy bars are molding and packaging. Personal fatigue and delay allowances are set at 15%. The molding machine operator is rated at 110% and the packer is rated at 80%.
A ball is thrown upward with a speed of 96 ft/s from the top of a building if height 432. Find the maximum height that it can reach.
in a rowing race the distance between the teams in first and second place is 5.7 meters. the distance between the
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
what is the probability that tourists will see fewer than four lions on the next one day?
A 42 inch piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. The two peices of string are not equal in length. How should the string be cut so the sum of the areas is a minimum?
Explain. Provide your classmate's with one or two solutions with which they must create a quadratic equation.
A cylinder is inscribed in a right circular cone of height 4.5 and radius (at the base) equal to 7.5. What are the dimensions of such a cylinder which has maximum volume?
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