(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.) 7.5567

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osave#Q3
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 < x < 20
11.5
1
20 s x
(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 answer to four decimal places.)
7.5567
What is the probability that the observed depth is within 2 standard deviations of the mean value?
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Transcribed Image Text:osave#Q3 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 < x < 20 11.5 1 20 s x (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 answer to four decimal places.) 7.5567 What is the probability that the observed depth is within 2 standard deviations of the mean value? Need Help? Read It 9:28 PM e Type here to search %2: 10/11/2020
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