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1. Draw a Venn diagram. Draw a Venn diagram that shows the relation between the events A and Bin Exercise 4.106. Indicate each of the following events on your diagram and use the information in Exercise 4.106 to calculate the probability of each event. Finally, describe in words what each event is.
(a) {A and B}
(b) {Ac and B}
(c) {A and Bc}
(d) {Ac and Bc}
2. Sales of cars and light trucks. Motor vehicles sold to individuals are classi?ed as either cars or light trucks (including SUVs) and as either domestic or imported. In a recent year, 69% of vehicles sold were light trucks, 78% were domestic, and 55% were domestic light trucks. Let A be the event that a vehicle is a car and B the event that it is imported.
Write each of the following events in set notation and give its probability.
(a) The vehicle is a light truck.
(b) The vehicle is an imported car.
Compute the mean, median, mode and standard deviation for the following discrete probability distribution.
Find a z score for which the area under the standard normal curve from -z to z is 50%. (b) Find the range of scores which will be assigned a grade of C.
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A stockbroker at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6 percent with a standard deviation of 3.9 percent. The mean rate of return on a sample of 8 utility stocks was 10.9 percent with a stan..
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suppose the service time in minutes at a bank has the exponential distribution with lambda 12. use the central limit
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