The price of a gallon of whole milk is normally distributed with a mean of $3.50 and a standard deviation of $0.11.

a. Find the probability that a randomly selected gallon of whole milk costs between $3.45 and $3.65.

b. Find the probability that a randomly selected gallon of whole milk costs less than $3.25.

c. Find the probability that a randomly selected gallon of whole milk costs at least $3.40.

d. Above what price do the largest 71% of prices for gallons of whole milk fall?

e. Below what price do the smallest 53% of prices for gallons of whole milk fall?

f. Between what two prices do the middle 23% of prices for gallons of whole milk fall?