SOLUTION: An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have only one piece of checked

Question 1132696: An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have only one piece of checked luggage and 12% have two pieces. We suppose a negligible portion of people check more than two bags.
) The average baggage-related revenue per passenger is: $
(please round to the nearest cent)
b) The standard deviation of baggage-related revenue is: $
(please round to the nearest cent)
c) About how much revenue should the airline expect for a flight of 120 passengers? $
(please round to the nearest dollar)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x*p(x)
0*.54=0
.34*25=$8.50
.12*60=$7.20
The expected value is this sum or $15.70 per passenger
For 120 passengers, the expected value is 120*$15.70 or $1884
the variance is -15.70^2*0.54=133.10
plus (25-15.70)^2*0.34=29.41
plus (60-15.70)^2*0.12=235.50
These add to 398.01 $^2
sqrt of this is the sd or $19.95
RELATED QUESTIONS
Two airline passengers have baggage totaling 190lbs. A passenger is charged a fixed... (answered by MathTherapy)

Two airline passengers have baggage totaling 190lbs. A passenger is charged a fixed... (answered by josmiceli)

The baggage weights for passengers using a particular airline are normally distributed... (answered by ewatrrr)

. An airline company has two types of airplanes: one for 10 passengers and one for 20... (answered by stanbon)

lino has balikbayan boxes weighing 12.9 kg and 9.6 kg. if the airline company gives each... (answered by ikleyn)

An airline carries 180 passengers and 10 tonnes of freight and earns $75000 for its... (answered by nerdybill)

the mean baggage weight for each adult is 60kg. To test his belief, he draws a random... (answered by rothauserc)

An ice skating arena charges an admission fee for each child plus a rental fee for each... (answered by Edwin McCravy,ikleyn)

Emmy flew home from vacation with a heavy bag. With the first airline she flew, Emmy had... (answered by ewatrrr)

Criticize the following claims, which were cited in the New York Times of September 25,... (answered by stanbon)