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Probability question regarding cancer in a given population

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Suppose that there is a diagnostic test for a particular type of cancer. Given that the person has this type of cancer, the probability that the test would be positive is 95%. However, if the person does not have this type of cancer, then the probability that the rest will be positive is 1%. Suppose that 2% of the population have this type of cancer.

a) If we choose a person at random from this population, what is the probability that they would obtain a positive result for this type of cancer?
b) Compute the probability that a tested person has cancer, given that he or she tested positive.

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Solution Summary

Provides steps necessary to determine probability.

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a) if you choose a person at random there is 0.02 probability that he/she has cancer and 0.98 probability that they don't have cancer. If you ...

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