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e. The probability that the jump's round off error is greater than 2.24 is P(x > 2.24) =

e. The probability that the jump's round off error is greater than 2.24 is P(x > 2.24) =

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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### Uniform Distribution of Round Off Errors in Long Jump Measurements The round-off errors when measuring the distance that a long jumper has jumped are uniformly distributed between 0 and 4.7 mm. Round values to 4 decimal places when possible. #### Questions: **a.** The mean of this distribution is [Text Box] **b.** The standard deviation is [Text Box] **c.** The probability that the round-off error for a jumper's distance is exactly 2 is P(x = 2) = [Text Box] **d.** The probability that the round-off error for the distance that a long jumper has jumped is between 0 and 4.7 mm is P(0.6 < x < 4) = [Text Box] **e.** The probability that the jump's round-off error is greater than 2.24 is P(x > 2.24) = [Text Box] **f.** P(x > 0.4 | x > 0.2) = [Text Box] **g.** Find the 90th percentile. [Text Box] **h.** Find the maximum for the lower quartile. [Text Box] This set of problems addresses the basic characteristics of a uniform distribution, such as the mean, standard deviation, specific probabilities, and percentiles. ##### Notes for Educators: - Ensure students are familiar with the properties of uniform distributions. - Encourage the use of the probability density function (PDF) for finding exact probabilities. - Teach the concept of conditional probability when approaching problem (f). - Illustrate how to find percentiles and quartiles in a uniform distribution. No graphs or diagrams are provided in this image.
Transcribed Image Text:### Uniform Distribution of Round Off Errors in Long Jump Measurements The round-off errors when measuring the distance that a long jumper has jumped are uniformly distributed between 0 and 4.7 mm. Round values to 4 decimal places when possible. #### Questions: **a.** The mean of this distribution is [Text Box] **b.** The standard deviation is [Text Box] **c.** The probability that the round-off error for a jumper's distance is exactly 2 is P(x = 2) = [Text Box] **d.** The probability that the round-off error for the distance that a long jumper has jumped is between 0 and 4.7 mm is P(0.6 < x < 4) = [Text Box] **e.** The probability that the jump's round-off error is greater than 2.24 is P(x > 2.24) = [Text Box] **f.** P(x > 0.4 | x > 0.2) = [Text Box] **g.** Find the 90th percentile. [Text Box] **h.** Find the maximum for the lower quartile. [Text Box] This set of problems addresses the basic characteristics of a uniform distribution, such as the mean, standard deviation, specific probabilities, and percentiles. ##### Notes for Educators: - Ensure students are familiar with the properties of uniform distributions. - Encourage the use of the probability density function (PDF) for finding exact probabilities. - Teach the concept of conditional probability when approaching problem (f). - Illustrate how to find percentiles and quartiles in a uniform distribution. No graphs or diagrams are provided in this image.
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