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...

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<br>Down<br>D<br>Total<br>58<br>POS<br>NEG<br>43<br>15<br>D°<br>1371<br>3930<br>5301<br>Total<br>1414<br>3945<br>5359<br>

Extracted text: Blood Test Down D Total 58 POS NEG 43 15 D° 1371 3930 5301 Total 1414 3945 5359

Jun 06, 2022

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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...

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