Question
The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 373.
The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is
373.
Assume this mileage follows the normal distribution with a standard deviation of
30
miles. Complete parts a through d below.
a. What is the probability that, before the low-fuel light comes on, the car will travel less than
390
miles on the next tank of gas?
nothing
(Round to four decimal places as needed.)
b. What is the probability that, before the low-fuel light comes on, the car will travel more than
346
miles on the next tank of gas?
nothing
(Round to four decimal places as needed.)
c. What is the probability that, before the low-fuel light comes on, the car will travel between
323
and
343
miles on the next tank of gas?
nothing
(Round to four decimal places as needed.)
d. What is the probability that, before the low-fuel light comes on, the car will travel exactly
346
miles on the next tank of gas?
nothing
(Round to four decimal places as needed.)
B.
One season, the average little league baseball game averaged
2
hours and
31
minutes
(151
minutes) to complete. Assume the length of games follows the normal distribution with a standard deviation of
17minutes.
Complete parts a through d below.
a. | What is the probability that a randomly selected game will be completed in less than 140 minutes? |
The probability that a randomly selected game will be completed in less than
140
minutes is
nothing.
(Round to four decimal places as needed.)
b. | What is the probability that a randomly selected game will be completed in more than 140 minutes? |
The probability that a randomly selected game will be completed in more than
140
minutes is
nothing.
(Round to four decimal places as needed.)
c. | What is the probability that a randomly selected game will be completed in exactly 140 minutes? |
The probability that a randomly selected game will be completed in exactly
140
minutes is
nothing.
(Round to four decimal places as needed.)
d. What is the completion time in which
97.5%
of the games will be finished?
About
97.5%
of the games will be finished in
nothing
minutes or less.
(Round to two decimal places as needed.)
C.
Which of these experiments does not generate a continuous random variable?
A.
recording the number of minutes a customer waits on hold for technical support
B.
measuring the number of ounces of soda in a bottle
C.
recording the number of miles traveled between two locations
D.
counting the number of customers who enter a store during the business day
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