Question

A shuttle service transports passengers from the airport to local hotels. The vans used have room for up to 6 passengers. Data collected over several years indicate that the number of passengers per trip to the hotels follow the following probabilities.

Passengers: 1 2 3 4 5 6
Probability: 0.20 0.25 0.22 0.13 0.10 0.10

Required:
A van leaves the airport for the local hotels. What is the probability there are at least 4 passengers on board?

Answer 1

Probability = 0.33

Explanation:

Passengers: 1 2 3 4 5 6

Probability: 0.20 0.25 0.22 0.13 0.10 0.10

Let No. of passengers = x ; So probability of at least 4 passengers

Prob (x > 4) = Prob (x = 4) + Prob (x = 5) + Prob (x = 6)

= 0.13 + 0.10 + 0.10

= 0.33