Question

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5. [12 pts) In a bag of peanut M&M's, there are 80 total candies, with 11 red ones, 12 orange ones, 20 blue ones, 11 green ones, 18 yellow ones, and 8 brown ones. They are mixed up that each candy piece is equally likely to be selected if we pick one. a. If we select one at random, what is the probability that it is green? b. If we select one at random, what is the probability it is yellow or brown? c. If we select one at random, then put it back, mix them up well (so the selections are independent) and select another one, what is the probability that both the first and second candies are red? d. If we select one, eat it, then select a second one, what is the probability that the first one is blue and the second one is orange? Extra Credit (2 points) Write a description of the difference between a parameter (such as ) in comparison to a statistic (such as x)

Answer 1

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n a) P(Green) 11 80 = 0.1375 -O b PCyellow or Brown) - P(yellow) + PCBrown) - PCyellow and Brown) 18 8 80 80 26 80 = 0.325 P(Red First one is red and second one is Red) 11 80 80 = 0.018 blue gotowi warto tor-bestudirtit portamot d) P(First one is red and second one iso is orange) # 1 2 79. 80 lomvols o azlozi askornulomal = 20 = 0.037.