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At a certain restaurant in? Ohio, the number of minutes that diners spend at the table has a major impact on the profitability of the restaurant

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At a certain restaurant in? Ohio, the number of minutes that diners spend at the table has a major impact on the profitability of the restaurant. Suppose the average number of minutes that diners spend at a table for dinner at the restaurant is 97 minutes with a standard deviation of 15 minutes. Assume the number of minutes diners spend at their table follows the normal probability distribution. Complete parts a through d.

a. Calculate the probability that the average number of minutes that diners spend at their table for dinner will be less than 100 minutes using a sample size of 9 tables.

?(Round to three decimal places as? needed.)

b. Calculate the probability that the average number of minutes that diners spend at their table for dinner will be less than 100 minutes using a sample size of 19 tables.

?(Round to three decimal places as? needed.)

c. Calculate the probability that the average number of minutes that diners spend at their table for dinner will be less than 100 minutes using a sample size of 28 tables.

?(Round to three decimal places as? needed.)