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consider the following data for a group of 2000 women. of these women 16 are known to have breast cancer. all 2000 undergo the same test to determine whether or not they have breast cancer and 154 test positive. 14 of 16 that have breast cancer test positive and 140 of those that do not have breast cancer test positive. what is the probability that a woman tests positive given that she has breast cancer? what is the probability a woman tests negative for breast cancer?

Respuesta :

Using it's concept, it is found that the probabilities are given as follows:

  • 0.875 = 87.5% probability that a woman tests positive given that she has breast cancer.
  • 0.923 = 92.3% probability a woman tests negative for breast cancer.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

14 of 16 that have breast cancer test positive, hence:

p = 14/16 = 0.875.

0.875 = 87.5% probability that a woman tests positive given that she has breast cancer.

2000 - 154 = 1846 out of 2000 women test negative, hence:

p = 1846/2000 = 0.923

0.923 = 92.3% probability a woman tests negative for breast cancer.

More can be learned about probabilities at https://brainly.com/question/14398287

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