7 10 pts When studying a group of 937 men who died last year

7. (10 pts) When studying a group of 937 men who died last year, a researcher observes that 210 of them died from cancer. Moreover, 312 of the 937 men studied had a parent who suffered from cancer. Of these 312 men, 102 died from cancer. Let A denote the event that a man in the study had a parent who suffered from cancer and H denote the event that a man in the study died from cancer What is the probability that a man chosen at random from this group died of cancer, given that he did not have a parent which suffered from cancer? B) 0.8. Calculate P(A). (Hint: Venn 0.8 and P(AU 8. (10 pts) You are given P (AUB diagram is your best friend here) 9. (10 pts) Before the semi-final games of 2014 World Cup of soccer, a group of soccer fans voted whether Brazil and Argentina would win their respective semi-final games (Brazil vs Germany and Argentina vs Netherlands). 30% of fans voted that neither Brazil nor Argentina would win, 60% voted that Brazil would win, and 65% voted that Argentina would win. What percentage of fans voted that both teams would win?

Solution

7)937 total people

210 died from cancer = event H

312 have parent who suffered cancer.

among this 312 , 102 peple died. therefore 210-102 = people died of cancer bt parents never had cancer = 108

937-312= number of people whose parents dont have cancer = 625

P(person died of cancer/ given that there parents dont had cancer) = 108/625

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