The fill amount in 1-liter soft drink bottles is normallydistributed, with a mean of 1.0 liter and a standard deviation of 0.04 liter. If bottles contain less than 95% of the listed net content (0.95 liters, in thiscase), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 1.07 liters may cause excess spillage upon opening. Complete parts(a) through(e) below.

a. What proportion of bottles contain between 0.95 and 1.0 liters?

(Round to four decimal places asneeded.)

b. What proportion of bottles contain between 0.95 and 1.07 liters?

(Round to four decimal places asneeded.)

c. What proportion of bottles contain below 0.95 liters or above 1.07 liters?

(Round to four decimal places asneeded.)

d. At least how much soft drink is contained in 98% of thebottles?

___ liter(s)

(Round to two decimal places asneeded.)

e. Ninety-eight percent of the bottles contain an amount that is between which two values(symmetrically distributed) around themean?

Between __ liter(s) and __ liter(s)

(Round to two decimal places as needed. Use ascendingorder.)