SOLUTION: It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety. (

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Question 1144097: It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a) Find the probability that a senior citizen suffers from anxiety, given that he or she has sleep disorder. Round your answer to decimal places.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The conditional probability under the question is equal to the ratio


    P = P%28both_disorders%29%2FP%28sleep_disorder%29.


So,  


    P = 0.05%2F0.88 = 5%2F88 = 0.05682 = 5.682%.    ANSWER