Posted by **jessie** on Sunday, May 16, 2010 at 10:05am.

how do you form the probability tree for this??

The commonly used test to assess Down's syndrome risk in the unborn foetus is the 'triple test', which combines maternal age with other markers of foetal and maternal health from a single blood test. The test has a 65% detection rate, and a 5% false positive rate. Incidence of Down's syndrome in births from 35 yr old mothers is 1 in 250. The triple test from one 35 yr old mother returns a positive result. What is the probability that her foetus has Down's syndrome?

- math -
**drwls**, Sunday, May 16, 2010 at 11:45am
Out of a random sample of 35 year old mothers:

Probability of false positive = (249/250)*0.05 = 0.0498

Probability of correct positive = (1/250)*0.65 = 0.0026

Probability of false negative (undetected Down's) = (1/250)*0.35 = 0.0014

Probability of correct negative = (249/250)*0.95 = 0.9462

For the woman in question, she is either a false positive or a correct positive.

Probability of Down's = (.0026)/(.0026+.0498) = 0.04962

That equals a probability of 1 in 20.2

## Answer This Question

## Related Questions

- Statistic - Case 6.4 Maternal Serum Screening Test for Down syndrome Please ...
- Statistics - One of my classmates ask this question and it wasn't answered so ...
- Biology- Human Karyotyping - Could someone help me find 2 disorders that are the...
- math - Samantha has an average of 92% on tree math test. If one of her grades ...
- tax income - To be a qualifying child, the taxpayer must meet three general ...
- statistics - An athlete suspected of having used steroids is given two tests ...
- tax income - To be a qualifying child, the taxpayer must meet three general ...
- English - Identify the correct sentence. A. In order to assess you're level of ...
- Statistics - Which one of the following test is used to compare five means, ...
- MATH Prob. - Jack is taking a four-item true–false test. He has no knowledge ...

More Related Questions