Daily observations for a period of 144 days have been conducted about the number of candy bars sold from a vending machine. Using these observations, the sample mean is calculated to be 258 and the sample standard deviation is calculated to be 60. a.) What is the probability that the sample mean number of candy bars sold for the 144-day period is less than 273? b.) What is the probability that the total number of candy bars sold for the 144-day period is greater than 34,992 but less than 37,872? (c) If the profit per candy bar is 5 cents, what is the probability that the average profit per day over the 144-day period is at least $12.65?

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