Question

A test for detecting cancer which appears to be promising has been developed. It was found that 98% of cancer patients in a hospital reacted positively to the test while 4% of those without cancer reacted positively. 3% of the patients in the hospital have cancer.

Let P(C) = Probability of a patient having cancer

Let P(NC) = Probability of a patient not having cancer

Let P(P+) = Probability of a patient getting a positive result

Let P(P-) = Probability of a patient getting a negative result

1) What is P(P+∩NC)? (Go to four decimals)

Answer choices

0.0294

0.0400

0.980

0.0388

2)  

What is P(P+∩C)? (Go to four decimals)

Answer choices

0.0294

0.0400

0.9800

0.0388

3) What is the probability of a positive test? (Go to four decimals)

Answer choices

0.0294

0.5689

0.0682

0.4311

Answer 1