Question: Any experienced Trick-or-Treater knows that what counts is the quantity of loot you collect, not the number of hauntings. Those many years of data collection resulted in a mean bounty of 3.5 pounds of loot per goblin and a variance of .25 pounds. My 4 year old nephew, Brant, is busy preparing for the big night of spooking. Find the following:

a. The probability that Brant will collect more than 4.5 pounds of candy

b. How much candy he needs to be in the top 10% of goblins

c. The probability he will collect between 2.8 and 3.4 pounds of candy.