An article suggests the uniform distribution on the interval (6.5, 21) 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?...

Extracted text: An article suggests the uniform distribution on the interval (6.5, 21) 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 variance (b) What is the cdf of depth? x< 6.5="" f(x)="6.5">< 21="" 21="" sx="" (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="">