A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 60 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 45 and 60 thousand miles in a year? The proportion of trucks that can be expected to travel between 45 and 60 thousand miles in a year is (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 45 or more than 80 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is %.

College Algebra
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ISBN:9781337282291
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 60 thousand miles and a standard deviation of 11
thousand miles. Complete parts (a) through (d) below.
a. What proportion of trucks can be expected to travel between 45 and 60 thousand miles in a year?
The proportion of trucks that can be expected to travel between 45 and 60 thousand miles in a year is
(Round to four decimal places as needed.)
b. What percentage of trucks can be expected to travel either less than 45 or more than 80 thousand miles in a year?
The percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is %.
(Round to two decimal places as needed.)
c. How many miles will be traveled by at least 70% of the trucks?
The number of miles that will be traveled by at least 70% of the trucks is
miles.
(Round to the nearest mile as needed.)
d. What are your answers to parts (a) through (c) if the standard deviation is 7 thousand miles?
If the standard deviation is 7 thousand miles, the proportion of trucks that can be expected to travel between 45 and 60 thousand miles in a year is
(Round to four decimal places as needed.)
If the standard deviation is 7 thousand miles, the percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is
]%.
(Round to two decimal places as needed.)
If the standard deviation is 7 thousand miles, the number of miles that will be traveled by at least 70% of the trucks is
miles.
Transcribed Image Text:A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 60 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 45 and 60 thousand miles in a year? The proportion of trucks that can be expected to travel between 45 and 60 thousand miles in a year is (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 45 or more than 80 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 70% of the trucks? The number of miles that will be traveled by at least 70% of the trucks is miles. (Round to the nearest mile as needed.) d. What are your answers to parts (a) through (c) if the standard deviation is 7 thousand miles? If the standard deviation is 7 thousand miles, the proportion of trucks that can be expected to travel between 45 and 60 thousand miles in a year is (Round to four decimal places as needed.) If the standard deviation is 7 thousand miles, the percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is ]%. (Round to two decimal places as needed.) If the standard deviation is 7 thousand miles, the number of miles that will be traveled by at least 70% of the trucks is miles.
The quality control manager of Marilyn's Cookies is inspecting a batch of chocolate-chip cookies that has just been baked. If the production process is in control, the
mean number of chip parts per cookie is 6.9. Complete parts (a) through (d).
a. What is the probability that in any particular cookie being inspected fewer than five chip parts will be found?
The probability that any particular cookie has fewer than five chip parts is
(Round to four decimal places as needed.)
b. What is the probability that in any particular cookie being inspected exactly five chip parts will be found?
The probability that any particular cookie has exactly five chip parts is
(Round to four decimal places as needed.)
c. What is the probability that in any particular cookie being inspected five or more chip parts will be found?
The probability that any particular cookie has five or more chip parts is
(Round to four decimal places as needed.)
d. What is the probability that in any particular cookie being inspected either four or five chip parts will be found?
The probability that any particular cookie has four or five chip parts is
(Round to four decimal places as needed.)
Transcribed Image Text:The quality control manager of Marilyn's Cookies is inspecting a batch of chocolate-chip cookies that has just been baked. If the production process is in control, the mean number of chip parts per cookie is 6.9. Complete parts (a) through (d). a. What is the probability that in any particular cookie being inspected fewer than five chip parts will be found? The probability that any particular cookie has fewer than five chip parts is (Round to four decimal places as needed.) b. What is the probability that in any particular cookie being inspected exactly five chip parts will be found? The probability that any particular cookie has exactly five chip parts is (Round to four decimal places as needed.) c. What is the probability that in any particular cookie being inspected five or more chip parts will be found? The probability that any particular cookie has five or more chip parts is (Round to four decimal places as needed.) d. What is the probability that in any particular cookie being inspected either four or five chip parts will be found? The probability that any particular cookie has four or five chip parts is (Round to four decimal places as needed.)
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