Hamish goes on a five-day salmon fishing holiday. The probability of catching a salmon on any day is and that is independent of what happens on any other day. (i) What is the probability that he does not catch a salmon? (ii) What is the probability that he catches his first salmon on the last day of his holiday? (iii) What is the expectation of the number of days on which he catches a salmon? (iv) What is the expectation of the number of days on which he does not catch a salmon?

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