STAT 3502 Quiz: 2018f_3502_a1_1

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Stat 3502: probability and statistics - assignment 1 solution. [6 marks] two cold tablets are accidentally places in a box containing three aspirin tablets. One tablet is selected at random from the box and is swallowed by the rst patient. Solution: let c and a be a cold and aspirin tablet selected, individually, and an outcome of two letters represents the tablets selected by the 1st and 2nd patient. Therefore, all possible outcomes are cc, ca, ca, ca, cc, ca, ca, ca, ac, ac, Aa, aa, ac, ac, aa, aa, ac, ac, aa, aa. The sample space s = {cc, ca, ac, aa} with probabilities 2/20, 6/20, 6/20 and. 6/20. b: let f be the event of the rst patient obtained a cold tablet. F = {cc, ca} and p(f) = p(cc) + p(ca) = 8/20 = 40%: let l be the event the second patient obtained a cold tablet.