5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c.   a. Given that a test result is negative​ (NEG), what is the probability that the fetus actually has Down​ syndrome?   P(D|NEG)=   b.  Given that the fetus has Down​ syndrome, what is the probability that the test result is​ negative?   P(NEG|D)=   c. Is P(D|NEG) equalt to P(NEG|D)?   A. Yes, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   B. No, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG).   C. No, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   D. ​Yes, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG)

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Author:Amos Gilat
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5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c.
 
a. Given that a test result is negative​ (NEG), what is the probability that the fetus actually has Down​ syndrome?
 
P(D|NEG)=
 
b.  Given that the fetus has Down​ syndrome, what is the probability that the test result is​ negative?
 
P(NEG|D)=
 
c. Is P(D|NEG) equalt to P(NEG|D)?
 
A. Yes, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).
 
B. No, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG).
 
C. No, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).
 
D. ​Yes, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG)
Blood Test
Down
D
Total
58
POS
NEG
43
15
D°
1371
3930
5301
Total
1414
3945
5359
Transcribed Image Text:Blood Test Down D Total 58 POS NEG 43 15 D° 1371 3930 5301 Total 1414 3945 5359
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