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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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