Mathematics Final Exam With Answers (10 Solved Questions)

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Portage LearningMATH 110 Introduction to StatisticsFinal ExamQuestion1Notyetgraded /10ptsYoumay find thefollowing fileshelpful throughout theexam:Thefollowingpiechartshowsthe percentagesoftotal itemssoldin amonthin acertainfast foodrestaurant.A total of 4700 fast food items were sold during the month.a.)How manywerefish?b.)Howmanywerefrenchfries?YourAnswer:a.fish4700(0.28)=1316b.Frenchfries4700(0.4)=1880a.)Fish: 4700(.28) = 1316b.)French Fries:4700(.40) =1880Question2Considerthefollowingdata:430 389 414 401 466 421 399 387 450 407 392 410440 417 471Findthe40thpercentileofthisdata.

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Thereareatotaloffifteennumbers,son= 15.Inordertofindthepercentiles,wemust putthenumbersin ascending order:387389392399401407410414 417421430440450466471Forthe40thpercentile:Therefore,the40th percentileindexforthisdataset isthe6th observation.Inthe listabove,the6thobservationis 407.Question3In a tri-state conference, 60% attendees are from California, 25% from Oregon, and 15% from Washington. Asit turns out 6 % of theattendees from California, 17% of the attendees from Oregon, and 12% of the attendeesfromWashingtoncametotheconferencebytrain.Ifanattendeeisselected atrandomandfoundtohavearrivedbytrain, what is the probability that the person is fromWashington?P(Train│C)=.06.. P(Train│O)=.17..P(Train│W)=.12..P(C)=.60,P(O)=.25,P(W)=.15.WewanttofindP(W│Train),souse:Question4Findeach ofthefollowingprobabilities:a.Find P(Z≤-0.87).b.Find P(Z≥ .93) .c.FindP(-.59 ≤Z ≤-.36).a.P(Z≤-0.87)=.19215.b.P(Z ≥ .93)=1-.82381= .17619.

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