Question: Question 3 - Normal Distribution (8 marks) A popular soft drink is sold in 2-litre (i.e., 2,000 millilitres) bottles. Due to variations in the production

 Question 3 - Normal Distribution (8 marks) A popular soft drink

Question 3 - Normal Distribution (8 marks) A popular soft drink is sold in 2-litre (i.e., 2,000 millilitres) bottles. Due to variations in the production process, bottles have a mean of 2,000 millilitres and a standard deviation of 18, normally distributed. (a) If the process fills bottles by more than 30 millilitres, the overflow will cause the machine to overflow. What is the probability of this occurring? (b) What is the probability of underfilling bottles by at least 10 millilitres

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