.11 T-Mobile 3:17 PN Expert Q&A; Done 198 2. A Gallop poll asked Americans wheth

Question

.11 T-Mobile 3:17 PN Expert Q&A; Done 198 2. A Gallop poll asked Americans whether they planed to wanch the Super Bowl The polleser akso asked thse whe planned to watch whether they were looking forward more to seeing the foodhall game or the commercials The d in the table Male 640 200 watched more for the commercials? What is the probability that a randomly selected responder was a female and ANS . Given that a randomly selected responder was female, what is the probability she waiched more for the

Explanation / Answer

a)

P(Responder was female and watched more commercial)

= n(female and watched more commercial) / n(total responder)

= 150/1985

=0.075567

b)

P(Responder was female OR watched more commercial)

= p(Female) + P( Commercial) - P(Responder was female and watched more commercial)

= (500+150+400)/1985 + (200+150) / 1985 - 150 / 1985

= 0.629723

c)

P(watched more commercial | Female)=P(Responder was female and watched more commercial) / p(Female)

= (150/1985) / (( 500+150+400) / 1985)

= 0.142857

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