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.
|
Eat in
|
Mean
$5,780
|
StandardDeviation
$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?