Answer:
The taxi driver's average profit per trip is 4.4.
Step-by-step explanation:
Probability of fares picked up in zone A with destinations in zone A = 0.6
Probability of fares picked up in zone A with destinations in zone B = 0.4
Probability of fares picked up in zone B with destinations in zone A = 0.3
Probability of fares picked up in zone B with destinations in zone B = 0.7
The driver's expected profit for a trip entirely in zone A = 6
The driver's expected profit for a trip entirely in zone B = 8
The driver's expected profit for a trip involving both zones is 12
The taxi driver's average profit per trip:
zone A with destinations in zone A = 0.6 * 6 = 3.6
zone A with destinations in zone B = 0.4 * 12 = 4.8
zone B with destinations in zone A = 0.3 * 12 = 3.6
zone B with destinations in zone B = 0.7 * 8 = 5.6
Total profit expected for 4 trips = 17.6
Average profit per trip = 4.4 (17.6/4)
