A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. e) What is the expected total length of the two pieces of pipe? Give your answer to three decimal places. f) What is the variance of the length of a single pipe? Give your answer to four decimal places. g) What is the variance of the total length of both pipes? Give your answer to four decimal places
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. e) What is the expected total length of the two pieces of pipe? Give your answer to three decimal places. f) What is the variance of the length of a single pipe? Give your answer to four decimal places. g) What is the variance of the total length of both pipes? Give your answer to four decimal places
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 8CT
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A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process.
e) What is the expected total length of the two pieces of pipe? Give your answer to three decimal places.
f) What is the variance of the length of a single pipe? Give your answer to four decimal places.
g) What is the variance of the total length of both pipes? Give your answer to four decimal places.
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