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Category > Statistics Posted 26 May 2017 My Price 6.00

A crime is committed by one of two suspects, A and B

 

A crime is committed by one of two suspects, A and B. Initially, there is equal evidence against both of them. In further investigation at the crime scene, it is found that the guilty party had a blood type found in 10% of the population. Suspect A does match this blood type, whereas the blood type of Suspect B is unknown.

(a) Given this new information, what is the probability that A is the guilty party?

(b) Given this new information, what is the probability that B’s blood type matches that found at the crime scene?

 

 

 
 

Answers

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Status NEW Posted 26 May 2017 08:05 AM My Price 6.00

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Attachments

file 1495786367-2084132_1_636313567034072915_2084132.xlsx preview (69 words )
A ------------&a-----------mp;-----------gt;----------- A -----------is -----------gui-----------lty-----------B ------------&am-----------p;g-----------t; -----------B i-----------s g-----------uil-----------tyM----------- -&-----------amp-----------;gt-----------; -----------Aâ€-----------™s -----------blo-----------od -----------typ-----------e m-----------atc-----------hes----------- th-----------e g-----------uil-----------ty -----------par-----------tya-----------)By----------- Ba-----------yes-----------’----------- Ru-----------le,----------- P(-----------A|M-----------) -----------= {-----------P(M-----------|A)-----------*P(-----------A)}----------- / -----------{P(-----------M|A-----------)*P-----------(A)----------- + -----------P(M-----------|B)-----------*P(-----------B) -----------} =----------- (1-----------/2)-----------/ {----------- 1/-----------2 +----------- (1-----------/10-----------)(1-----------/2)----------- } -----------= 1-----------0 /----------- 11-----------b)P-----------(C|-----------M) -----------= P-----------(C|-----------M, -----------A)P-----------(A|-----------M) -----------+ P-----------(C|-----------M, -----------B)P-----------(B|-----------M) -----------C ------------&am-----------p;g-----------t; ----------- Bâ-----------€™s----------- bl-----------ood----------- ty-----------pe -----------mat-----------che-----------s, -----------and----------- co-----------ndi-----------tio-----------n o-----------n w-----------het-----------her----------- B -----------is -----------gui-----------lty-----------. -----------= 1-----------/10----------- ·----------- 10-----------/11----------- + -----------1/1-----------1 =----------- 2/-----------11 -----------
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