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A worker at a landscape design center uses a machine to

Question: A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag is a uniformly distributed random variable that ranges from 10 to 12 pounds.

a. Calculate the expected value and 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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