Chapter 11, Problem 48CP

a.

To determine

Tabulate conditional distribution for the blood test result, given true down syndrome.

b.

To determine

Find the percentage that was diagnosed as positive by the diagnostic test for down cases.

Find the percentage that was diagnosed as negative by the diagnostic test for unaffected cases.

Check whether the diagnostic test is good or not.

c.

To determine

Find $\text{P(D|Positive})$ and ${\text{P(D}}^{\text{c}}\text{|Positive})$.

Write the percentage of $\text{P(D|Positive})$.

Based on the probabilities write the reason whether the result is surprising or not.