6.4 The producers of a TV survival programme advertise for potential participants and then select random samples of ten people to appear in the programme. If 30 per cent of the people who apply to take part in the programme are smokers, what is the probability that:

(a) A team consists entirely of non-smokers?

(b) A team includes only one smoker?

(c) A team includes no more than three smokers?

(d) A team includes more than four smokers?

(e) The majority of a team are non-smokers?