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10. It is a curious fact that approximately 85% of all U.S. residents who are struck by lightning are men. Consider the population of U.S. residents,
from which a person is randomly selected. Let A denote the event that the person is male and let B denote the event that the person will be struck by lightning. (a) Estimate P(AlB) and P(A B) (b) Compare P(A|B) and P(A). Are A and B independent events? (c) Suggest reasons why P(AB) is so much larger than P(A |B). It is tempting to joke that men dont know enough to come in out of the rain! Why might there be some truth to this possibility i.e., why might men be more reluctant to take precautions than women? Can you suggest other explanations?

math   Statistics-And-Probability   
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a) here P(A/D) Plmale given hit by lightening) 035 P(AB) : 1- P(A/B) 1-0 8S 01S nce P(A/B)ニP ( mal c given hit oximateiy as p(AB)is not (qual to p(A): therfore A ond independent ore not c) As in okplace majoiyf pesons are malc thon female therlote there is a hiqhet pvobabiity of a male to be out en L^onK Then lightening styuck Aiso maie is invoived in major popotion of out do jobs are Sporks uhich can Cause male at The tinne of ightening avoitable Then emale fied higher propotion of

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