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The amount of milk consumed by a child per day in a kindergarten follows

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The amount of milk consumed by a child per day in a kindergarten follows certain distribution with mean 300 ml and standard deviation 40 ml. As- sume that the milk demand of different child is independent. Suppose that there are 49 children in the kindergarten, and the kindergarten orders 15 litres of fresh milk from a farm every day.

(i) On a particular day, what is the probability that the milk supplied by the kindergarten will not meet the demand of the children?

(ii) Suppose that the amount of milk consumed by the children from day to day. What is the probability the kindergarten will not meet the milk demand of the children for at least 1 of the next 5 days?

(iii) During the next year, what is the probability that the kindergarten will not meet the milk demand of the children for more than 40 days? independent

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[Solved] The amount of milk consumed by a child per day in a kindergarten follows

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