Problem#5 SELF 6.8 Toby's Trucking Company determined that the Test distance traveled per truck per year is normally distrib- uted, with a mean of 50 thousand miles and a standard deviation of 12 thousand miles. a. What proportion of trucks can be expected to travel between 34 and 50 thousand miles in a year? b. What percentage of trucks can be expected to travel either less than 30 or more than 60 thousand miles in a year? c. How many miles will be traveled by at least 80% of the trucks? d. What are your answers to (a) through (c) if the standard devia- tion is 10 thousand miles?

Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
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Problem#5
SELF 6.8 Toby's Trucking Company determined that the
Test distance traveled per truck per year is normally distrib.
uted, with a mean of 50 thousand miles and a standard deviation of
12 thousand miles.
a. What proportion of trucks can be expected to travel between
34 and 50 thousand miles in a year?
b. What percentage of trucks can be expected to travel either less
than 30 or more than 60 thousand miles in a year?
c. How many miles will be traveled by at least 80% of the trucks?
d. What are your answers to (a) through (c) if the standard devia-
tion is 10 thousand miles?
Transcribed Image Text:Problem#5 SELF 6.8 Toby's Trucking Company determined that the Test distance traveled per truck per year is normally distrib. uted, with a mean of 50 thousand miles and a standard deviation of 12 thousand miles. a. What proportion of trucks can be expected to travel between 34 and 50 thousand miles in a year? b. What percentage of trucks can be expected to travel either less than 30 or more than 60 thousand miles in a year? c. How many miles will be traveled by at least 80% of the trucks? d. What are your answers to (a) through (c) if the standard devia- tion is 10 thousand miles?
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