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Category > Statistics Posted 26 May 2017 My Price 7.00

A truth serum has the property that 90% of the guilty suspects are properly

1.80    A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of the guilty suspects are improperly found inno- cent. On the other hand, innocent suspects are mis- judged 1% of the time. If the suspect  was selected from a group of suspects of which only 5% have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is innocent?

 

1.81    An allergist claims that 50% of the patients she tests are allergic to some type of weed. What is the probability that

(a)   exactly 3 of her next 4 patients are allergic to weeds?

(b)   none of her next 4 patients is allergic to weeds?

Answers

Alpha Geek
(8)
Status NEW Posted 26 May 2017 05:05 PM My Price 7.00

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file 1495820982-Answer.docx preview (28 words )
S-----------olu-----------tio-----------n ----------- 1.-----------80:----------- P(-----------Inn-----------oce-----------nt)-----------=0.-----------95 ----------- P-----------(Ju-----------dge-----------d G-----------uil-----------ty|----------- St-----------ate-----------=Gu-----------ilt-----------y)=-----------0.9----------- P(-----------Gui-----------lty-----------)=0-----------.05----------- -----------P(S-----------tat-----------e=I-----------nno-----------cen-----------t |----------- Ju-----------dge-----------d G-----------uil-----------ty -----------)= -----------(P(-----------Jud-----------ged----------- Gu-----------ilt-----------y |----------- St-----------ate-----------=In-----------noc-----------ent-----------) *----------- P(-----------Inn-----------oce-----------nt)-----------)/(-----------P(J-----------udg-----------ed -----------Gui-----------lty----------- | -----------Sta-----------te=-----------Inn-----------oce-----------nt)----------- * -----------P(I-----------nno-----------cen-----------t) -----------+P(-----------Jud-----------ged----------- Gu-----------ilt-----------y| -----------Sta-----------te=-----------Gui-----------lty-----------)*P-----------(Gu-----------ilt-----------y))----------- =(-----------0.0-----------1*0-----------.95-----------)/(-----------0.0-----------1*0-----------.95-----------+0.-----------9*0-----------.05-----------) =-----------0.0-----------095-----------/(0-----------.00-----------95+-----------0 -----------
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