Question

The reliability of a Covid-19 test is specified as follows:

Of people having Covid-19 , 90% of the test detect the disease but 10% go undetected. Of people free

of Covid-19 , 99% of the test are judged Covid-19 negative but 1% are diagnosed as showing Covid-19

positive .

From a large population of which only 0.1% have Covid-19 , one person is selected at random, given

the Covid-19 test and Pathologist reports him/her as Covid-19 positive.

Based on the above information , answer the following questions:

(i) What is the probability of the person to be tested as Covid-19 positive given that he is actually

having Covid-19 ?

(a) 0.001 (b) 0.1 (c)0.8 (d) 0.9

please explain how the answer came...I will surely make you brain list !!​

Answer 1

Answer:

D) 0.9

Step-by-step explanation:

10/100=0.1

This percentage X who are not positive corona but are showing positive

0.1X0.001= 0.0001

people whose test is detected as positive and is correct X people whose test is shown as positive and is incorrect =

90/100 X 1/100 = 0.9 X 0.001  = 0.009

We have to multiply it with 100 to make it into percentage

0.009 X 100 = 0.9

Therefore, D is the answer

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