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6. "Section 4.2, problem 14: The article 'Modeling Sediment and Water Column Interactions for
Hydrophobic Pollutants' (Water Research, 1984: 1169-1174) 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? (b) What is the cdf of depth? (c) What is the
probability that observed depth is at most 10? Between 10 and 15? (d) What is the probability that
the observed depth is within 1 standard deviation of the mean value? Within 2 standard
deviations?

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6 Section 42 problem 14 The article Modeling Sediment .pdf

  • 1. 6. "Section 4.2, problem 14: The article 'Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants' (Water Research, 1984: 1169-1174) 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? (b) What is the cdf of depth? (c) What is the probability that observed depth is at most 10? Between 10 and 15? (d) What is the probability that the observed depth is within 1 standard deviation of the mean value? Within 2 standard deviations?