A test for breast cancer correctly classifies 95 of, Ask an Expert

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A test for breast cancer correctly classifies 95% of malignant tumours as malignant but also incorrectly classifies 1% of benign tumours as malignant. It is thought that approximately 5% of samples submitted for this test are taken from malignant tumours.

a) What are the false positive and false negative rates?

b) What is the probability that a tumour classified by this test as malignant is in

fact malignant?

i) Solve this problem by drawing up a contingency table, AND

ii) Solve using conditional probability and the law of total probability.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91015957

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