d. A reservation costs $25 and passengers who cannot be accommodated will receive $25 refund. How much is the expected refund (dollar amount)?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Please only answer part D Thank you!

3. A shuttle takes passengers from Florida Tech to Melbourne Airport. Shuttle can take 5
passengers (in a trip). Reservations are made through a website and 8 passengers can make
reservations for the same shuttle (overbooking). Twenty percent (20%) of passengers who
made reservations do not show up.
Eight reservations are made. Passengers make reservations and show up independent of
each other.
a. What is the probability that all passengers who show up, can be accommodated?
b. What is the expected number of passengers with reservations who show up (for a trip)?
c. What is the expected number of passengers that cannot be accommodated (for a trip)?
d. A reservation costs $25 and passengers who cannot be accommodated will receive $25
refund.
How much is the expected refund (dollar amount)?
Transcribed Image Text:3. A shuttle takes passengers from Florida Tech to Melbourne Airport. Shuttle can take 5 passengers (in a trip). Reservations are made through a website and 8 passengers can make reservations for the same shuttle (overbooking). Twenty percent (20%) of passengers who made reservations do not show up. Eight reservations are made. Passengers make reservations and show up independent of each other. a. What is the probability that all passengers who show up, can be accommodated? b. What is the expected number of passengers with reservations who show up (for a trip)? c. What is the expected number of passengers that cannot be accommodated (for a trip)? d. A reservation costs $25 and passengers who cannot be accommodated will receive $25 refund. How much is the expected refund (dollar amount)?
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