The weights of five-pound sugar bags are uniformly distributed with a minimum of 4.75 and a maximum of 5.25 pounds.
a. Find the probability that a sugar bag weighs more than 4.95 pounds.
b. Find the probability that a sugar bag weighs between 4.85 and 5.10 pounds.
c. Find the expected value and the standard deviation of the sugar bag weights.
d. Find the 70th percentile of sugar bag weights
. e. Find the probability that the sugar bag weighs more than 5.15 pounds given it weighs more than 5 pounds.
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