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Suppose that the distribution for customer expenditure at a supermarket is bimodal with a mean of $45 and a standard deviation of $15. Suppose a

Suppose that the distribution for customer expenditure at a supermarket is bimodal with a mean of $45 and a standard deviation of $15. Suppose a random sample of 36 customers is taken.

a) Check the conditions for the sampling distribution of the sample mean.

b) What is the probability that the mean of the sample is greater than $46? SHOW BASIC WORKINGS.

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