Question

Q4 [10 marks] An orange juice producer sources his oranges from a large grove. The amount of juice extracted from a single orange is normally distributed with mean 141 ml and standard deviation 12 ml.

(a) What is the probability that a randomly-chosen orange will contain less than 150 ml of juice?

(b) What amount of juice would only 1 in 100 oranges exceed?            

(c) Each week the supplier tests a box of 30 oranges and complains to the grower if the mean amount of juice produced is less than 135ml. How often will this happen?

Answer 1