Chapter 2: Q 49. (page 139)
Normal curve Estimate the mean and standard deviation of the Normal density curve below. 
Short Answer
Mean of the Normal density curve,
The standard deviation of the Normal density curve,
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Chapter 2: Q 49. (page 139)
Normal curve Estimate the mean and standard deviation of the Normal density curve below. 
Mean of the Normal density curve,
The standard deviation of the Normal density curve,
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Travel time (1.2) The dot-plot displays data on students鈥 responses to the question 鈥淗ow long does it usually take you to travel to school?鈥 Describe the distribution.

Still, waiting for the server? How does your web browser get a file from the Internet? Your computer sends a request for the file to a web server, and the webserver sends back
a response. For one particular web server, the time (in seconds) after the start of an hour at which a request is received can be modeled by a uniform distribution on the interval from to seconds.
a. Draw a density curve to model the amount of time after an hour at which a request is received by the webserver. Be sure to include scales on both axes.
b. About what proportion of requests are received within the first minutes ( seconds) after the hour?
c. Find the interquartile range of this distribution.
Household incomes Refer to Exercise Here are summary statistics for the state median household incomes:
| n | Mean | SD | Min | Q1 | Med | Q3 | Max |
| 50 | 51742.44 | 8210.64 | 36641 | 46071 | 50009 | 57020 | 71836 |
a. Find and interpret the score for North Carolina, with a median household income of
b. New Jersey had a standardized score of Find New Jersey鈥檚 median household income for that year.
I think I can! An important measure of the performance of a locomotive is its 鈥渁dhesion,鈥 which is the locomotive鈥檚 pulling force as a multiple of its weight. The adhesion of one -horsepower diesel locomotive varies in actual use according to a Normal distribution with mean and standard deviation .For each part that follows, sketch and shade an appropriate Normal distribution. Then show your work.
(a) For a certain small train鈥檚 daily route, the locomotive needs to have an adhesion of at least for the train to arrive at its destination on time. On what proportion of days will this happen? Show your method.
(b) An adhesion greater than for the locomotive will result in a problem because the train will arrive too early at a switch point along the route. On what proportion of days will this happen? Show your method.
(c) Compare your answers to (a) and (b). Does it make sense to try to make one of these values larger than the other? Why or why not?
Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the percentile of all his race times that season. But his performance places him at the percentile in the league championship meet. Explain how this is possible. (Remember that shorter times are better in this case!)
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