17. Airlines must be aware of the weight of the aircraft plus everything on board. Based on thousands of flights, the mean and standard deviation for the weights of several items are shown in
the table. The weights of the airplane, people/luggage, and fuel are assumed to be independent.
Item
Mean (in
tons)
Plane
45
People/luggage 10
Fuel
20
Standard Deviation (in
tons)
2
1
1
Let the random variable T represent the total weight of the plane, people/luggage, and fuel for a
randomly selected flight. Which of the following is closest to the standard deviation of T?
04.00 tons
120 tons
2.45 tons
O 6.00 tons
0 75.0 tons