A hospital receives the pharmaceutical delivery each morning at a time that varies uniformly between 7:15 and 7:30AM.
(a) What is the expected time of delivery?
(b) Find the probability that the time of delivery is within 1 standard deviation from the mean (between (mX- stand dev X) and (mX + stand devX)).
(c) Find the 70th percentile for the time of delivery.
(d) If the delivery has not arrived by 7:20, what is the probability it arrives before 7:25?