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The number of diners at a restaurant each day is recorded and a daily average is calculated every month (assume 30 days in a month).

The number of diners at a restaurant each day is recorded and a daily average is calculated every month (assume 30 days in a month). The number of diners each day has a mean of 108 and a standard deviation of 64, but does not necessarily follow a normal distribution. The probability that a daily average over a given month is greater than x is 2.5%. Calculate x. You may find standard normal table useful. Give your answer to 3 decimal places. x =

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