The table shown, from Example 8 in Chapter 5, cross-tabulates whether a fetus has Down syndrome by

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The table shown, from Example 8 in Chapter 5, cross-tabulates whether a fetus has Down syndrome by whether or not the triple blood diagnostic test for Down syndrome is positive (that is, indicates that the fetus has Down syndrome).
a. Tabulate the conditional distributions for the blood test result, given the true Down syndrome status.
b. For the Down cases, what percentage was diagnosed as positive by the diagnostic test? For the unaffected cases, what percentage got a negative test result? Does the diagnostic test appear to be a good one?
c. Construct the conditional distribution on Down syndrome status, for those who have a positive test result. Of those cases, what percentage truly has Down syndrome? Is the result surprising? Explain why this probability is small.
The table shown, from Example 8 in Chapter 5, cross-tabulates
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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