Suppose that, for every family holiday trip of more than 2000 km by car, an average of 0.60 flat tyres occurs. Suppose also that the number of flat tyres per trip of more than 2000 km is Poisson distributed.

(a) What is the probability that a family taking a trip of more than 2000 km will have no flat tyres?

(b) What is the probability that a family will have 3 or more flat tyres on such a trip?

(c) Suppose the trips are independent and the rate of flat tyres is the same for all trips of more than 2000 km. If a family takes 2 trips of more than 2000 km during one summer, what is the probability that the family will have no flat tyres on either trip?