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RELIABILITY OF MEDICAL TESTS A medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is .95. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is .04. It is estimated that 4% of the population who take this test have the disease.
a. If the test administered to an individual is positive, what is the probability that the person actually has the disease?
b. If an individual takes the test twice and both times the test is positive, what is the probability that the person actually has the disease? (Assume that the tests are independent.)
Calculate the break-even level of sales, assuming: $1.4 million fixed costs, $400,000 depreciation expense, variable costs-to-sales ratio of 65%.
Because the car has an airbag, an alarm, and antilock brakes, the insurance company has assigned a rating factor of.95 to the policy. As her auto insurance agent, calculate Karen's total annual premium.
Find the indicated probability.
The base of an aquarium with volume V = 440 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Janice bought 30 items each priced at 30 cents, 2 dollars or 3 dollars. If her total purchase price was $30.00, how many 30-cent items did she purchase?
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Find the equation of horizontal and vertical asymptote of given functions - Find the equations for the horizontal and vertical asymptotes
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 mioles per hour
A prune juice contanier is a rectangular prism that measure 12 inches by 3.5 inches by 4 inches. Describe the relationship between the two containers answer using l*w*h.
your school sold 456 tickets for a high school play. adult $3.50 students $1.00 total tickets sales $113. how many student tickets were sold?
A sinusoidal signal, 20 sin(ωt + π/2 ), passing through an LTI system, undergoes a gain of 2 and a 90-degree phase lag. The resulting output signal will be mathematically described as
the speed of train a is 20 mph slower than the speed of train b. train a travels 220 miles in the same time it takes train b to travel 320 miles. find the speed of each train.
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