An article suggests the uniform distribution on the interval (7.5, 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.)meanvariance(b) What is the cdf of depth?F(x) =01x < 7.57.5 < x < 2020 ≤ 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?

Given that X ~ Uniform ( 7.5 , 20 ) Note : According to bartleby experts question answers…

Answered: (a) What are the mean and variance of…

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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