P(fine weather) = ¾. Carlos is late with probability 1/10 if fine, and ⅓ otherwise.

(a) Complete a tree: fine / not fine, then late / not late for each weather branch. [3]

(b) How many fine days are expected in a 60-day term? [1]

(c) Find P(fine and late). [2]

(d) Find P(not late). [3]

(e) Find P(at least one day not fine in a five-day week). [2]