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positive test results (pregnancy is indicated) subject is pregnant 62 subject is

ID: 3176424 • Letter: P

Question

positive test
results
(pregnancy is indicated)
subject is pregnant 62
subject is not pregnant 4
negative test
result
(pregnancy is not indicate)
subject is pregnant 4
subject is not pregnant
a. If one of the 99 test subject is randomly selected, what is the probability of getting a subject who is pregnant?
P (pregnant)=2/3

b. A test subject is randomly selected and is given a pregnancy test. What is the probability of getting a subject who is pregnant, given that the test is positive?

P (pregnant/positive )=

Explanation / Answer

A) probability of getting a subject who is pregnant = (62+ 4)/99 = 66/99 = 2/3

b)  the probability of getting a subject who is pregnant, given that the test is positive

= 62 /(62+ 4) = 62/66 = 31/33