A restaurant has three sources of revenue: eat-in orders, takeout orders, and the bar. The daily revenue from each source is normally distributed with mean and standard deviation shown in the table below.
Mean Standard Deviation
Eat in $5,780 $142
Takeout 641 78
Bar 712 72
a. Will the total revenue on a day be normally distributed?
b. What are the mean and standard deviation of the total revenue on a particular day?
c. What is the probability that the revenue will exceed $7,000 on a particular day?