Explanation
From the statement, we know that:
• n(A) = # of participants with anxiety = 66,
,
• n(D) = # of participants with drowsiness = 85,
,
• n(A∩D) = # of participants with both anxiety and drowsiness = 47.
(a) The number of participants that had drowsiness but not anxiety is:
[tex]n(D\text{ and not }A)=n(D)-(A∩D)=85-47=38.[/tex]
(b) The number of participants that had anxiety or drowsiness is:
[tex]n(A\cup D)=n(A)+n(B)-n(A\cap B)=66+85-47=104.[/tex]Answer
• 38 participants
,
• 104 participants
