Every day Eduardo tries to phone his friend. Every time he phones there is a 50% chance that his friend will answer. If his friend answers, Eduardo does not phone again on that day. If his friend does not answer, Eduardo tries again in a few minutes’ time. If his friend has not answered after 4 attempts, Eduardo does not try again on that day. (i) Draw a tree diagram to illustrate this situation. (ii) Let X be the number of unanswered phone calls made by Eduardo on a day. Copy and complete the table showing the probability distribution of X. x 0 1 2 3 4 P(X=x) 1/4 (iii) Calculate the expected number of unanswered phone calls on a day

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