The time for travelling by car between two cities is normally distributed with mean u = 20 minutes and standard deviation a = 4 minutes. We pick randomly a car driving the above route. (i) What is the probability the trip takes less than 24 minutes? (Give your answer as a decimal number correct in five decimal places). (ii) What is the probability the trip takes between 14 and 24 minutes? (Give your answer as a decimal number correct in five decimal places). (b) (iii) Approximately 67% of the trips take at most y minutes. What is the value of y?

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