Question

An economics conference was recently held in which 200 North American economists were discussing whether or not tariffs would help or hurt or not affect their respective countries’ overall economies. Each economist was categorized by his/her country and their attitudes toward tariffs. The numbers of economists falling into each combination of categories were summarized in the following table.

                                               attitudes

Country                 help        hurt        not affect           Totals

Canada                      5           32                3                      40

USA                        33          87              20                     140

Mexico                      1           17                 2                     20

Total                       39          136               25                     200

If one of these economists was randomly selected to receive free admission to next year’s conference, determine the probability that the economist selected: (Leave your answers as fractions without simplifying them.)

1. was from Mexico

2. was from Canada and whose attitude was ‘hurt the economy’

3. was from USA or whose attitude was ‘help the economy’

4. was from Mexico knowing that his/her attitude was ‘help the economy’

5. had the attitude of ‘no effect’ knowing that he/she was from Canada

Answer 1

Solution :

Country affected help host not affected Total Canada 40 h 32 W 140 20 USA 87 33 2o mexico 1 17 2 کرد 2 DO Total 39 136 la) Prob. ( mexico) õh O 200 ib) 4 Prob ( Canada and hust) = 32 = 200 25 (0) Prob. (USA or help) - BLUSA) + Pochelp) -Po.CUSA and help) 73 39 33 =146 of llo 200 100 200 200 200 (d, Prot. ( mexicol help) = Pr.Cmexico and help) Pr. Chelp) 1 210 - 39 39 200 le) Prob ( not affected / Conada) Prob (not affected and Conada) Prob. c conoda) 20D 3 Yo 40