The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons.
a.)Compute the mean and standard deviation of the weekly output.
b.)Compute the probability that the steel mill will produce more than 150 metric tons next week.
c.)Determine the probability that the steel mill will produce between 120 and 160 metric tons next week.
d.)The operations manager labels any week that is in the bottom 20% of production a “bad week”. How may metric tons should be used to define a bad week?

Question

The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons.
a.)Compute the mean and standard deviation of the weekly output.
b.)Compute the probability that the steel mill will produce more than 150 metric tons next week.
c.)Determine the probability that the steel mill will produce between 120 and 160 metric tons next week.
d.)The operations manager labels any week that is in the bottom 20% of production a “bad week”. How may metric tons should be used to define a bad week?