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Joe, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Joe models the boulders' weights using a normal distribution with a mean of 565 kg and a standard deviation of 100 kg. Use this table or the ALEKS calculator to find the percentage of boulders that weigh between 493 kg and 681 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).

Joe, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Joe models the boulders' weights using a normal distribution with a mean of 565 kg and a standard deviation of 100 kg. Use this table or the ALEKS calculator to find the percentage of boulders that weigh between 493 kg and 681 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Joe, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Joe models the boulders' weights using a normal distribution with a mean of 565 kg and a standard deviation of 100 kg. Use this table or the ALEKS calculator to find the percentage of boulders that weigh between 493 kg and 681 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
Transcribed Image Text:Joe, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Joe models the boulders' weights using a normal distribution with a mean of 565 kg and a standard deviation of 100 kg. Use this table or the ALEKS calculator to find the percentage of boulders that weigh between 493 kg and 681 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
A highly anticipated sci-fi movie opened up in theaters with a special midnight showing this past Friday. For the Saturday edition of his town's newspaper, Brian wrote a column about local interest in the movie. He found that the attendance for the midnight showing among all the theaters in the state had a mean of 261 people with a standard deviation of 19 people. The attendance for the midnight showing at his town's theater was 219 people. (a) Find the --score of the attendance at the theater in Brian's town relative to the attendances among all the theaters in the state. Round your answer to two decimal places. (b) Fill in the blanks to interpret the --score of the attendance at the theater in Brian's town. Make sure to express your answer in terms of a positive number of standard deviations. The attendance at the theater in Brian's town was standard deviations (Choose one) ▼ the mean attendance among all the theaters in the state.
Transcribed Image Text:A highly anticipated sci-fi movie opened up in theaters with a special midnight showing this past Friday. For the Saturday edition of his town's newspaper, Brian wrote a column about local interest in the movie. He found that the attendance for the midnight showing among all the theaters in the state had a mean of 261 people with a standard deviation of 19 people. The attendance for the midnight showing at his town's theater was 219 people. (a) Find the --score of the attendance at the theater in Brian's town relative to the attendances among all the theaters in the state. Round your answer to two decimal places. (b) Fill in the blanks to interpret the --score of the attendance at the theater in Brian's town. Make sure to express your answer in terms of a positive number of standard deviations. The attendance at the theater in Brian's town was standard deviations (Choose one) ▼ the mean attendance among all the theaters in the state.
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