5. Whenever I fly, I purchase the inflight Wi-Fi—it's (usually) a small price to pay to feel like I'm living in the future. But on a recent flight of mine, I was sorely disappointed to see that satellite Wi-Fi is not immune to the recent inflation plaguing our consumer economy. The airline charged $8 for a half-hour of internet access, $12 for one hour, and $20 for an entire flight of access. A flight attendant was kind enough to inform me that on this particular flight route, 40% of customers purchase no internet access, 15% purchase a half-hour, 10% purchase one hour, and 35% purchase full-flight access.
Let R be the amount of Wi-Fi-related revenue (in dollars) generated by a random passenger on this flight route.
(a) (2 points) Define the probability model for R. Remember to use the correct units on the outcomes (in the \"k\" column).
k
P(R = k)
(b) (2 points) On average, how much Wi-Fi-related revenue does the airline make from a single passenger?
(c) (2 points) On a full flight of 160 passengers, how much Wi-Fi-related revenue should the airline expect on average?
