Question

A covid-19 test manufacturer is testing its newest instant test. It tests a total of 500 people, 100 of whom are known to be have the virus. The following table shows the results:

	Have virus (V)	Do not have virus (V’)	Total
Test is positive (T)	90	40	130
Test is negative (T’)	30	160	190
Total	120	200	320

1. Find the probability that a person has the virus but tests negative.
2. Find the probability that a person who has the virus tests negative.
3. Find the probability that a person who tests negative has the virus.
4. An acquaintance of yours has a negative test result. What is the probability that she does not have the virus?

Answer 1

Answer:

given Data

A covid - 19 test manufacturer is testing its newest instant test.

It tests a total of 500 people , 100 of whom are known to be have the virus.

	Have virus (V)	Do not have virus(V')	Toatl
Test is pasitive(T)	90	40	130
Test is negative (T’)	30	160	190
Total	120	200	320

a) Find the probability that a person has the virus but tests negative.

P(Person has the virus but tests negative)

= 0.0938

b) Find the probability that a person who has the virus tests negative.

   P(Person who has the virus tests negative)

  

= 0.25

c) Find the probability that a person who tests negative has the virus .

     P(Person who tests negative has the virus)

= 0.1579

d)  An acquaintance of yours has a negative test result. What is the probability that she does not have the virus?

P(Person who does not have the virus)

= 0.8421

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