The volumes of backpacks are normally distributed with a mean of 550 cubic inches and a standard deviation of 100 cubic inches.
a. Find the probability that a backpack is between 500 and 700 cubic inches.
b. Find the probability that a backpack is bigger than 450 cubic inches.
c. Find the probability that a backpack is smaller than 600 cubic inches.
d. Find the volume t, such that 95% of volumes are smaller than t.
e. The middle 80% of volumes fall between which two values.
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