Problem III. Toby's Trucking Company determined that, on an annual basis, the distance traveled per truck is normally distributed with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles 11. What is proportion of the trucks can be expected to travel: a. between 34.0 and 38.0 thousand miles in the year? 11a. 11b. b. between 28.0 and 56.0 thousand miles? 11c. c. Equal to or greater than 75.0 thousand miles?

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Problem III. Toby's Trucking Company determined that, on an annual basis, the distance traveled per truck is
normally distributed with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles.
11. What is proportion of the trucks can be expected to travel:
1la.
a. between 34.0 and 38.0 thousand miles in the year?
ong
11b.
b. between 28.0 and 56.0 thousand miles?
11c.
c. Equal to or greater than 75.0 thousand miles?
12. How many miles will be traveled by at least 50% of the trucks?
(Hint: Draw a graph.)
12.
g bat gui lo
dl C8 O noowtod lld iw
13. How many miles will be traveled by at least 80% of the trucks?
(Hint: Draw a giraph.)
13.
Chuddorg a bnd llo lg 0 To
edl of wolsdllal e m
algmae ap
14. Suppose a tire manufacturer wants to set a minimum mileage guarantee on its new STREET SPORT tire.
Tests reveal the mean mileage is 47,900 miles with a standard deviation of 2.050 miles and is normally
distributed. The manufacturer wants to set the minimum guaranteed mileage so that no more than 4 percent of
the tires will have to be replaced. What minimum guaranteed mileage should the manufacturer announce?
Transcribed Image Text:Problem III. Toby's Trucking Company determined that, on an annual basis, the distance traveled per truck is normally distributed with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles. 11. What is proportion of the trucks can be expected to travel: 1la. a. between 34.0 and 38.0 thousand miles in the year? ong 11b. b. between 28.0 and 56.0 thousand miles? 11c. c. Equal to or greater than 75.0 thousand miles? 12. How many miles will be traveled by at least 50% of the trucks? (Hint: Draw a graph.) 12. g bat gui lo dl C8 O noowtod lld iw 13. How many miles will be traveled by at least 80% of the trucks? (Hint: Draw a giraph.) 13. Chuddorg a bnd llo lg 0 To edl of wolsdllal e m algmae ap 14. Suppose a tire manufacturer wants to set a minimum mileage guarantee on its new STREET SPORT tire. Tests reveal the mean mileage is 47,900 miles with a standard deviation of 2.050 miles and is normally distributed. The manufacturer wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should the manufacturer announce?
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