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 particular day?

c. What is the probability that the revenue will exceed $7,000 on a particular day