Don\'t mind the answers on there. just show me how you would do them and your an

Question

Don't mind the answers on there. just show me how you would do them and your answers. thank you.

The following table represents a sample of 150 elderly people who have smoked at least one pack of cigarettes per day and those who do not. It shows the lung cancer rates for people in each group. 1. Did not smoke in the past Has smoked at least one 60 months pack per day in the past 60 months 37 28 3 6 Has lung cancer Does not have lung cancer |79 85 Use this table to answer the following questions: a). Find the probability that, a person has contracted lung cancer. so b). Find the probability that a person has lung cancer or has not smoked in the past 60 months Past 60 monRs /50 1S0 (5o 75 0, 8133 c). Find the probability that a person has lung cancer given he or she has not smoked in the past 60 months. Pla apersm has lang Canter or hangf smokedin 070 e past montis Find the probability that a person has lung cancer given he or she smoked at least one pack of cigarettes per day. d) Papason has leuru ancer dr hen desnokedareleasperdey) ne pukaf aqreflesperday -35:05 e). Find the probability that a person has lung cancer and this person smoked at least one pack of cigarettes per day. . D2467 ancer and putadatteretere) per oay 150

Explanation / Answer

(a) Find the probability that a person has contracted lung cancer
Sol:P(A person has contraacted lung cancer)=43/150
                                                                 =0.286
(b) Find the probability that a person has lung cancer or has not smoked in the past 60 months

Sol:P(has lung cancer or has not smoked in the past 60 months)=43/150+85/150-6/150
                                                                                              =61/75
                                                                                              =0.8133
(c) find the probability that a person has lung cancer given he or she has not smoked in the past 60 months
Ans:P(a person has lung cancer given he or she has not smoked in the past 60 months)=6/85

                                                                                                                                =0.0706
                                                                                                                                                                                                                       
(d) find the probability that a person has lung cancer given he or she smokedatleast one pack
Ans:P( a person has lung cancer given he or she smokedatleast one pack)=37/65
                                                                                                             =0.5692

Did not smoke in the past 60 months Has smoked at least one pack per day in the past 60 months total Has lung cancer 6 37 43 Doesnot have lung cancer 79 28 107 total 85 65 150

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