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chegg.com Chegg Study | Guided Solutions and Stud Analytes Search udy TEXTBOOK SOLUTIONS EXPERT ORA estion : It is a curious fact that approximately 85% of all U.S. resident (1 bookm 11. 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 struck by lightning. is male and let B denote the event that the person will be (a) Estimate P(A|B) and P(A |B). (b) Compare P(A|B) and P(A). Are A and B independent events? (c) Suggest reasons why P(A|B) is so much larger than P(A |B). It is tempting to joke that men don't 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? Show transcribed image text Expert Answer Anonymous answered this 1,379 answers C) 0) Was this answer helpful? (

Explanation / Answer

a)

here P(A|B) =P(male given hit by lightening ) =0.85

P(Ac|B) =1-P(A|B)=1-0.85 =0.15

b)

here P(A|B) =0.85 while P(A) =probability of male =0.5 (approximately)

as P(A|B) is not equal to P(A) ; therfore A and B are not independent

c)

as in workplace majority of persons are male then female ; therefore there is a higher probability of a male to be out on work when lightening struck

also male is involved in major proportion of outdoor field jobs or sports which can cause higher proportion of male at the time of lightning available then female.

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