Prоvide аn аpprоpriаte respоnse. The times for completing one circuit of a bicycle course are normally distributed with a mean of 76.3 minutes and a standard deviation of 4.3 minutes. An association wants to sponsor a race but will cut the slowest 25% of riders. In a trial run, what should be the cutoff time? Round to the nearest tenth.
Prоvide аn аpprоpriаte respоnse.Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.29 ounces and a standard deviation of 0.14 ounce. Find the probability that the bottle contains more than 12.39 ounces of beer.