Many women have a condition called Polycystic Ovarian Syndrome (PCOS). Women wit

Question

Many women have a condition called Polycystic Ovarian Syndrome (PCOS). Women with PCOS are far more likely to struggle with anxiety and depression than women in the general population. Below is a data table that is representative of the rates for PCOS and anxiety and depression in the female US population. Use this table to answer question 1 – 5 below.

Assuming we are selecting a single US female at random from this group, what is the probability that:

1. The woman we selected has anxiety/depression?

2. The woman we selected has anxiety/depression and PCOS?

3. The woman we selected has no anxiety/depression or no PCOS?

4. (The woman has PCOS, given that they have anxiety/depression?

5. The woman has anxiety/depression, given that they have PCOS?

Explanation / Answer

a) P(The woman we selected has anxiety/depression ) = 180/1000 = 0.180

b) P(The woman we selected has anxiety/depression and PCOS) = 45/1000 = 0.045

c) P(The woman we selected has no anxiety/depression or no PCOS) = 798/1000 = 0.798

d) P(The woman has PCOS, given that they have anxiety/depression) = 45/180 = 0.25

e) P(The woman has anxiety/depression, given that they have PCOS) = 45/67= 0.67

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