Question
In: Statistics and Probability
A gasoline tank for a Honda Accord is engineered to hold 15 gallons of gas. Gas tank...
A gasoline tank for a Honda Accord is engineered to hold 15 gallons of gas. Gas tank capacity for a randomly selected Accord has an approximately normal distribution with mean 15.0 gallons and standard deviation of 0.1 gallons.
(a) What is the probability that a randomly selected Accord has a gas tank capacity within one standard deviation of the mean?
(b) What is the probability that a randomly selected tank will hold at most 14.85 gallons? Sketch a graph of this situation and shade the appropriate region.
(c) What is the probability that in the next twelve cars randomly selected, exactly four of those tanks will hold at most 14.85 gallons? Use your results from part (b).
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All you need here is to standardize the random variable. Please go through the solution. All of it has been done in a detailed manner
orchestra answered 1 year agoRelated Solutions
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Units
Costs
Work in process, December 31 (materials 100%
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32,000
$
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Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in...
Suppose these data show the number of gallons of gasoline sold
by a gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
17
2
21
3
19
4
23
5
18
6
16
7
21
8
19
9
23
10
21
11
16
12
23
(a) Using a weight of 1/2 for the most recent
observation, 1/3 for the second most recent observation, and
1/6 for third most recent observation, compute a
three-week weighted moving...
These data show the number of gallons of gasoline sold by a gasoline distributor in Bennington,...
These data show the number of gallons of gasoline sold by a
gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
17
2
21
3
19
4
23
5
18
6
16
7
20
8
18
9
22
10
20
11
15
12
22
(a)
Compute four-week and five-week moving averages for the time
series.
Week
Time Series
Value
4-Week
Moving
Average
Forecast
5-Week
Moving
Average
Forecast
1
17
2
21
3
19...
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in...
Suppose these data show the number of gallons of gasoline sold
by a gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
17
2
22
3
20
4
24
5
19
6
17
7
21
8
18
9
23
10
21
11
16
12
22
(a)
Compute four-week and five-week moving averages for the time
series.
Week
Time Series
Value
4-Week
Moving
Average
Forecast
5-Week
Moving
Average
Forecast
1
17
2
22
3...
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slower rate of 2 gal/min.
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t.
b. When will the tank overflow?
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