An article suggests the uniform distribution on the interval (6.5, 21) 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.)meanvariance(b) What is the cdf of depth?0F(x)=X < 6.56.5 ≤ x < 21121 ≤ x(c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.)What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.)(d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your answer to four decimal places.)What is the probability that the observed depth is within 2 standard deviations of the mean value?

Answered: An article suggests the uniform…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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