Solve 4/7- (-4/7)A. 8/7B.-8/7C.-4/7D.4/7
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The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370
We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :
n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)
271 = 36 + 86 + 23 + x
271 = 145 + x
x = 271 - 145
x = 126
- n(DnAnF) = 126
<u>Number who has </u><u>atleast one of the three</u><u> side effects can be expressed thus</u> :
n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585
36 + 23 + 62 + 86 + 126 + 93 + n(FnA) only = 585
- n(FnA only) = 585 - 426 = 159
<u>Number of participants</u><u> who has </u><u>anxiety</u><u> can be calculated thus</u> :
n(DnAnF) + (DnA only) + n(FnA only) + n(A only)
126 + 23 + 159 + 62 = 370 participants
Therefore, 370 of the total participants has Anxiety.
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