An article suggests the uniform distribution on the interval (7, 22.5) 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 2 decimal places) E(X)= V(X) = b) What is the cdf of depth? f(x) = { 0 1 x < 7 7 < x < 22.5 22.5 ≤ x c) What is the probability that the observed depth is at most 9? . (round your answer to 4 decimal places) What is the probability that the observed depth is between 9 and 15? . (round your answer to 4 decimal places) d) What is the probability that the observed depth is within 1 standard deviation of the mean value? . (round your answer to 4 decimal places) e) What is the probability that the observed depth is within 2 standard deviations of the mean?

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