Example 8 about the Triple Blood Test for Down syndrome found the results shown in the table below.

a. Estimate the probability that Down syndrome occurs (Down = Yes).
b. Find the estimated (i) sensitivity and (ii) specificity.
c. Find the estimated (i) P(Yes | POS) and (ii) P(No | NEG).
d. Explain how the probabilities in parts b and c give four ways of describing the probability that a diagnostic test makes a correct decision.

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Blood Test Down Yes No Total POS 48 1307 1355 NEG Total 54 5228 5282 3921 3927