The maximum weight that an elevator cable can support (people and/or cargo) in addition to the weight of the elevator is 3000 lbs. with a standard deviation of 200 lbs.
a. What is the maximum weight the elevator can support (people and/or cargo) in order to be sure the cable will not fail with a certainty of 2.5%? (Show work)
b. What is the maximum weight the elevator can support (people and/or cargo) in order to be sure the cable will not fail with a certainty of .15%? (Show work)
*The answer to the above question 'a' and 'b' should be obtained using the Empirical Probability Rule.