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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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