(Solved): n article suggests the uniform distribution on the interval (6.5,18) as a model for depth (cm) of t ...

n article suggests the uniform distribution on the interval $(6.5,18)$ as a model for depth $(\mathrm{cm})$ of the bioturbation layer in ediment in a certain region. (a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean variance (b) What is the cdf of depth? $F(x)=?\begin{array}{ll}0& x<6.5\\ & 6.5?x<18\\ 1& 18?x\end{array}$ (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?