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 12 8 to 15 4 pounds a Calculate the expected value and 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 13 9 pounds (Do not round intermediate calculations Round your answer to 2 decimal place ) Probability c Find the probability that the weight of a randomly selected bag is at least 13 4 pounds (Do not round intermediate calculations Round your answer to 4 decimal places ) Probability

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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 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 12.8 to 15.4 pounds.

a.	Calculate the expected value and 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 13.9 pounds. (Do not round intermediate calculations. Round your answer to 2 decimal place.)

Probability

c.	Find the probability that the weight of a randomly selected bag is at least 13.4 pounds. (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Probability

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