10. Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 450 stereos are purchased and 4% are found to be defective. From Company B, 200 stereos are purchased and 6% are found to be defective. Given that a stereo is defective, find the probability that it came from Company A

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
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Problem 70CUR
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10. Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 450 stereos are purchased and 4% are found to be defective. From Company B, 200 stereos
are purchased and 6% are found to be defective. Given that a stereo is defecțive, find the probability that it came from Company A
Beyesi PAR)
9
OA.
10
4
O B.
15
PCAB)
P(AS. ACBIA)
AB)
C.
OD.
PIAS = Company A
P(B)= Defectin
30
we are going
touse a tal
tofilout
%3D
Company
AlB total
Defecha
PlB)=
650
= 0.004 6
probubitis
Buyes
(18)12 30
Nt
18
400
30
PA) =
= 0.654
650
400
%3D
432188620
Thai Igoo 20 650/ -0,6154 =0,383%6
PA)=,
=|-Oib154=0,3846
GPLAIB) = -06
18
18 :30
650 650
3
18
650
30 =0.6
30
https://xlitemprod.pearsoncmg.com/api/v1/print/math
O.045
18
50
18
Teso 30
30
2/3
Transcribed Image Text:10. Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 450 stereos are purchased and 4% are found to be defective. From Company B, 200 stereos are purchased and 6% are found to be defective. Given that a stereo is defecțive, find the probability that it came from Company A Beyesi PAR) 9 OA. 10 4 O B. 15 PCAB) P(AS. ACBIA) AB) C. OD. PIAS = Company A P(B)= Defectin 30 we are going touse a tal tofilout %3D Company AlB total Defecha PlB)= 650 = 0.004 6 probubitis Buyes (18)12 30 Nt 18 400 30 PA) = = 0.654 650 400 %3D 432188620 Thai Igoo 20 650/ -0,6154 =0,383%6 PA)=, =|-Oib154=0,3846 GPLAIB) = -06 18 18 :30 650 650 3 18 650 30 =0.6 30 https://xlitemprod.pearsoncmg.com/api/v1/print/math O.045 18 50 18 Teso 30 30 2/3
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