A supermarket receives a delivery each morning at a time that varies uniformly between 5:00 and 7:00am.
a. Find the probability that the delivery on a given morning will occur between 5:30 and 5:45am.
b. What is the expected time of delivery?
c. Determine the standard deviation of the delivery time.
d. Find the probability that the time of delivery will be within half a standard deviation of the expected time.
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