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A test for a disease that affects 0.1% of the population is 99% effective on people with the disease (that is, it says they have it with probability 0.99). The test gives a false reading (saying that a person who does not have the disease is affected with it) for 2% of the population without the disease. We can think of choosing someone and testing them for the disease as a two stage process. In stage 1, we either choose someone with the disease or we don't. In stage two, the test is either positive or it isn't. Give a probability tree for this process. What is the probability that someone selected at random and given a test for the disease will have a positive test? What is the probability that someone who has positive test results in fact has the disease?
Consider the population model dP/dt=.3(1-P/200)(P/50-1)where P(t) is the population at time t. For what values of P is the population in equilibrium?
Find the vertices, foci, length of the major axis and length of the minor axis of the elipse ((x-1)^(2))/(4)+((y-2)^(2))/(9)=1
he first three characters of a car license plate number are letter characters. Car license plates can have repeats. For a), remember that the combination "AA" is possible.a) What's the probability of the first three characters being BAZ?
What must be true for a pentagon so that it will tessellate a plane?
what proportion of the families spends $85 or more per week on food?
What is the approximate probability that x ¯ is between 9 and 9.5 when measuring for 12 intervals?
A wooden artifact from an ancient tomb contains 80% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
Cassandra bout an antique dresser for $500. If the value of her dresser increase 6% annually, what will be the value of Cassandra dresser at the end of 3 years?
A boat tied up at a dock bobs up and down with passing waves. the vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s. what is the sinusoidal equation?
if a plane can travel 490 mph with the wind and 430 mph against the wind , what is the speed of the plane in still air?
Assuming that the speaker and the cat fanciers met by traveling in opposite directions, what is the answer and how many kittens are being transported
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