You have just started a coffee stand at the Saturday Market, and you prepare fresh brewed coffee every Saturday. Based on your analysis of the current market, you concluded that the demand for brewed coffee follows a normal distribution with the mean being 10 gallons and the standard deviation being 1.2 gallons. a. What is the probability that the demand for brewed coffee will be between 7 gallons and 13 gallons? b. In case you want to satisfy the demand 97% of time, how many gallons of brewed coffee do you need to prepare every Saturday? c. What is the range of the demand for brewed coffee with 97% certainty (i.e. 97% confidence interval of the demand)?

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