The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a standard deviation of 0.6 ounces.

(a) What is the probability that a randomly selected carton has a weight greater than 7.17 ounces?

(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 7.17 ounces?

(a) The probability is

(Round to four decimal places asneeded.)

(b) The probability is

(Round to four decimal places asneeded.)

2-The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 days and a standard deviation of 11 days.

(a) What is the minimum pregnancy length that can be in the top 8% of pregnancylengths?

(b) What is the maximum pregnancy length that can be in the bottom 4% of pregnancylengths?

(a) The minimum pregnancy length is

(Round to one decimal place asneeded.)

(b) The maximum pregnancy length is

(Round to one decimal place asneeded.)

3-Thez-score that corresponds to P75 is

(Round to two decimal places asneeded.)