An X-bar control chart monitors the mean of a process by checking that the average stays between     . When the process is under control, (a) What is the probability that five consecutive sample means...

An X-bar control chart monitors the mean of a process by checking that the average stays between
. When the process is under control,

(a) What is the probability that five consecutive sample means of
 cases stay within these limits?

(b) What is the probability that all of the means in a control chart for 100 days fall within the control limits?