It is known that 4% of the adults in a city have coronary heart disease.
A health centre provides a medical test to diagnose this disease.
Extensive study has shown that on receiving the test,
(1) 95% of adults having coronary heart disease will be correctly diagnosed as
having the disease ; and
(2) 3% of healthy adults will be incorrectly diagnosed as having the disease.
Question:
(a), Find the probability that a randomly selected adult receiving the test is
diagnosed as having coronary heart disease.
(b), Mr Chan is diagnosed by the test as having coronary heart disease.
Find the probability that he actually does not have the disease.
(c), In a certain day, five adults receive the test. Find the probability that only one
of them is incorrectly diagnosed.
P.S ANS for (a),(b) and (c):
(a)= 0.0668
(b)= 0.4311
(c)= 0.1359
更新1:
RE:回答者： 壞人 首先好多謝你的幫忙,不過可惜的是你的解答方式並非為數統科所應用的定律或公式，所以未能解答得到我的問題。不過仍然很多謝你的指導。
