An article suggests the uniform distribution on the interval (6.5, 19) 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

The mean of depth is 12.75cm.

The variance of depth is of 13.02 cm².

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

The variance of the uniform distribution is given by:

Uniform distribution on the interval (6.5, 19)

This means that:

So

Mean:

The mean of depth is 12.75cm.

Variance:

The variance of depth is of 13.02 cm².

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