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

What kind of a probability is: 'It was found that 98% of cancer patients in a hospital reacted positively to the test'?

Group of answer choices

A.) P(P+∩C)

B.) P(P+|C)

c.) P(C|P+)

2.

What kind of a probability is 'while 4% of those without cancer reacted positively'.

Group of answer choices

P(P+|NC)

P(P+∩NC)

P(NC|P+)

Answer 1

(1)

Question:

What kind of a probability is: 'It was found that 98% of cancer patients in a hospital reacted positively to the test'?

Corret option:

B)      P(P+|C)

Explanation:

98% of cancer patients in a hospital reacted positively to the test implies: The probability of of a patient getting a positive result given that patient having cancer is 0.95

(2)

Question:

What kind of a probability is 'while 4% of those without cancer reacted positively'.

Correct option:

P(P+|NC)

4% of those without cancer reacted positively'. implies: The probability of of a patient getting a positive result given that patient not having cancer is 0.04