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An article suggests the uniform distribution on the interval (8.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. (a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean 14.25 variance 11.02 (b) What is the cdf of depth? x < 8.5 x- 8.5 F(x) = 8.5 sx< 20 11.5 1 20 sx (c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.) 0.1304 What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.) 0.4348 (d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your ansver to four decimal places.) 0.5773 What is the probability that the observed depth is within 2 standard deviations of the mean value? 3.3198

An article suggests the uniform distribution on the interval (8.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. (a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean 14.25 variance 11.02 (b) What is the cdf of depth? x < 8.5 x- 8.5 F(x) = 8.5 sx< 20 11.5 1 20 sx (c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.) 0.1304 What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.) 0.4348 (d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your ansver to four decimal places.) 0.5773 What is the probability that the observed depth is within 2 standard deviations of the mean value? 3.3198

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Section D part 2 

An article suggests the uniform distribution on the interval (8.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. (a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean 14.25 variance 11.02 (b) What is the cdf of depth? x < 8.5 x- 8.5 F(x) = 8.5 sx< 20 11.5 1 20 sx (c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.) 0.1304 What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.) 0.4348 (d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your ansver to four decimal places.) 0.5773 What is the probability that the observed depth is within 2 standard deviations of the mean value? 3.3198
Transcribed Image Text:An article suggests the uniform distribution on the interval (8.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. (a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean 14.25 variance 11.02 (b) What is the cdf of depth? x < 8.5 x- 8.5 F(x) = 8.5 sx< 20 11.5 1 20 sx (c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.) 0.1304 What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.) 0.4348 (d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your ansver to four decimal places.) 0.5773 What is the probability that the observed depth is within 2 standard deviations of the mean value? 3.3198
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