Over a period of time Julian finds that on long-distance flights he flies economy class on 82% of flights. On the rest of the flights he flies first class. When he flies economy class, the probability that he gets a good night's sleep is \(x\). When he flies first class, the probability that he gets a good night's sleep is 0.9.

(i) Draw a fully labelled tree diagram to illustrate this situation.

The probability that Julian gets a good night's sleep on a randomly chosen flight is 0.285.

(ii) Find the value of \(x\).

(iii) Given that on a particular flight Julian does not get a good night's sleep, find the probability that he is flying economy class.