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Please answer all shown parts of each question and show detailed work along with explanations, thanks! L Calculation practice: General multiplication rule. In the 1980s

Please answer all shown parts of each question and show detailed work along with explanations, thanks!

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L Calculation practice: General multiplication rule. In the 1980s in Canada, 52% of adult men smoked. It was estimated that male smokers had a lifetime probability of 17.2% of y_ In the first hour of a hunting trip, the probability that a pride of Serengeti lions will developing lung cancer, whereas a nonsmoker had - 1.3% chance of getting lung cancer . . . . . during his life Mill n n1M 1E E 4) a encounter a Cape buffalo 1s 0.035. If 1t encounters a buffalo, the probablllty that the prlde _ 777777 . _ successfully captures it is 0.40 (numbers are from Scheel 1293). What is the probability that the next one-hour hunt for Cape buffalo by a pride of lions will end in a successful capture? i. Calculation practice: Bayes' theorem. Refer to@ Use the following steps to calculate the probability that a Canadian an smoked, given .t he had been diagmse'i With 1\"\"3 \"men i. Imagine that a long stretch of single-stranded DNA has 30% adenine, 25% thiamine, 15% \" cytosine, and 30% guanine. (These make up the nucleotides of the DNA.) What is the b. $113213::e(g;b3:lgv;::ta;r:dggilf)m the late elglmes mum eventually devebp probability of randomly drawing 10 adenines in a row in a sample of 10 randomly chosen nucleotides? c. Use Bayes' theorem to calculate the probability that a man from this population smoked, given that he eventually developed lung cancer

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