Question

A worker at a landscape design center uses a machine to ill bags with potting soil. Assume that the quantity put in each bag follows the continuous uniform distribution with low and high filling weights of 10 pounds and 12 pounds, respectively.
a. Calculate the expected value and the standard deviation of this distribution.
b. Find the probability that the weight of a randomly selected bag is no more than 11 pounds.
c. Find the probability that the weight of a randomly selected bag is at least 10.5 pounds.

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