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100 women use a new pregnancy test, 44 of the women are actually pregnant. Of th

ID: 3216707 • Letter: 1

Question

100 women use a new pregnancy test, 44 of the women are actually pregnant. Of the women who are pregnant, 35 test positive. Of the women who are not pregnant, 8 of them test positive. Draw tree diagram and Calculate the probability for each event. Please write neatly and explain. Thank you so much!

1. A randomly selected test is negative, given the woman is not pregnant

2. A randomly selected test is positive

3. A randomly selected test is from a woman who is pregnant given it is negative

4. A randomly selected test is incorrect (false-positive or false-negative)

Explanation / Answer

here below is probabilty table:

1) randomly selected test is negative, given the woman is not pregnant =48/56=6/7

2)A randomly selected test is positive =43/100

3)A randomly selected test is from a woman who is pregnant given it is negative =9/57

4)A randomly selected test is incorrect =(8+9)/100=17/100

test positive test negative Total pregnant 35 9 44 not pregnant 8 48 56 Total 43 57 100
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