In an endurance event, the probability that a competitor will complete the course is p and the probability that a competitor will not complete the course is q= l p. Teams consist of either two or four competitors. A team scores points if at least half its members complete the course. (i) Show that the probability that a four-member team will have at least three of its members not complete the course is 4pq3+ (1\". (ii) Hence, or otherwise, nd an expression in terms of q only for the probability that a four-member team will score points. (iii) Find an expression in terms of q only for the probability that a two-member team will score points. (iv) Hence, or otherwise, nd the range of values of q for which a two-member team is more likely than a four-member team to score points