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Question 4 (Total of 24 marks) An orange juice producer buys all his oranges from a large orange grove. The amount of juice squeezed from

Question 4 (Total of 24 marks)

An orange juice producer buys all his oranges from a large orange grove. The amount of juice squeezed from each orange is approximately Normally distributed with a mean of 135mL and a standard deviation of 12mL.

(a)(6 marks) Find the probability that a randomly selected orange will contain less than 125mL?

(b)(6 marks) Find the probability that a randomly selected orange will contain more than 145mL?

(c)(8 marks) Find the probability that a randomly selected orange will contain between 130mL and 140mL?

(d)(4 marks) 95% of oranges will contain less than how many millilitres of juice?

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