, \"nunn- Coursepack p 541 Math 133: 5.1 Worksheet #3 Name: Section ll: 'a 5.1: Rules of Probability 1. A shopping mall has set up a promotion as follows. With any mall purchase of $50 or more. the customer gets to spin on the wheel shown below a) List the outcomes in the sample space: If a number 1 comes up, the customer wins $10. Ifthe number 2 comes up, the customer wins $50. If the number 3 or 4 comes up, the customer wins a discount coupon. b) What is the probability of a player winning a discount coupon? Give 3 decimal places. c) Would winning the $50 prize be unusual? Explain using probability. The table shows the proportion 0f aCtiVe-dUtV military personnel in the four :iain military 2. branches from 2018. Fill out the table appropriately, give 3 deomal places w ere necessary(50urce: u in. MAT133 51W3p2 3. Determine whether each ofthe following are valid probability models. if not, explaln WhV~ m Probabili 0.42 '- 0.32 4. lSoftmeone computes the probabilities of several events. The probabilities are listed on the e and some verbal descriptions on the right. Match each probability with the best verbal deSCFlPUOH- Some descriptions may be used more than once. a) 0-50 __ 1. This event is certain to happen b) 0.00 ______ 2. This event is as likely to happen as not C) 0-90 __ 3. This event may happen, but it is not likely d) 1.00 4. This event is very likely to happen, but it is not certain. e) 0-10 ______ 5. It would be unusual for this event to happen. f) -0.25 6. This event cannot happen g) 0.01 7. Someone made a mistake. h) 2.00 5. The following boxplot shows the audience size on lnstagram by country in 7.020 (in millions). You are going to select a country at random from this data set. (Source: htt s://www.statista.com/statisti05/578364/countrieswith-most-insta ram-users!) lnmgram Users by Country a) What is the probability the country has more than 18.5 0 . 10 20 30 40 50 60 70 BO 90 ' . ' ' ' million instagram users? b) What is the probability the l country has less than 37 1 million instagram users? 1 . . . . I 0 io ' 20 so ' 4'0 50 so 70 no so 100 110 120 Insbgram Audience size (in millions)