1. Modern Travels, based on past experience, finds that about 30% of the people making a reservation to a bus from Bangalore to Mumbai do not show up for the journey. Therefore, they have a practice of booking more tickets for a bus than the number of available seats (overbooking). A bus has 6 available seats. If the Modern Travels sells 8 tickets for the bus, identify

(a) the probability that a person holding the reservation show up for the journey

(b) the probability that exactly 5 out of the 6 available seats get filled?

(c) the probability that not more than 3 of the 6 available seats get filled?

(d) the probability at least 5 of the 8 passengers show up for the journey?

(e) the probability that a seat will be available for everyone who shows up holding a reservation

(f) the probability

(g)On an average, how many passengers will be in the bus (CO2 / L3) (10 Marks)