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 14.8 to 16.9 pounds.

a.	Calculate the expected value and the standard deviation of this distribution.(Do not round intermediate calculations. Round your "expected value" to 2 decimal places and "standard deviation" answer to 4 decimal places.)

Expected value
Standard deviation

b.	Find the probability that the weight of a randomly selected bag is no more than 16.7 pounds.(Round your answer to 2 decimal places.)

Probability

c.	Find the probability that the weight of a randomly selected bag is at least 16.2 pounds.(Do not round intermediate calculations. Round your answer to 4 decimal places.)

Probability