Question: Ice cream with 1.89 liters normal distribution and standard deviation of .024

a. What is the probability that a randomly selected container have between 1.875 to 1.935 liters?

b. What is the probability that a randomly selected carton contains less than 1.880?

c. Is it possible for a carton to contain less than 1.840?

d. What is the probability that 20 randomly selected cartons contain between 1.885 to 1.900 liters?

e. If the standard deviation is changed to be no more than .050 and a sample of 21 cartons finds that the standard deviation is .034. Construct a 95% confidence interval for the population standard deviation using chi-square distribution.