The probability of senior citizens suffer from sleep disorders is
[tex]P(A)=0.91[/tex]
The probability of senior citizens suffer from anxiety is,0.09.
[tex]P(B)=0.09[/tex]The probability of seniors suffer from both sleep disorders and anxiety is,
[tex]P(A\cap B)=0.06[/tex]a. The probability that a senior citizen suffers from anxiety, given that he or she has a
sleep disorder.
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex][tex]P(A|B)=\frac{0.06}{0.09}[/tex][tex]P(A|B)=0.67[/tex]