Explanation:
The total number of people on the table is given below as
[tex]=2081[/tex]
Step 1:
The probability that a class attendee is a member of the gym and is attending a Boot Camp class is given below as
[tex]Pr(mb)=\frac{160}{2081}[/tex]
Step 2:
The probability of non-member of the gym and is attending a yoga class
[tex]Pr(ny)=\frac{287}{2081}[/tex]
Hence,
The probability that a class attendee is a member of the gym and is attending a Boot Camp class or non-member of the gym and is attending a yoga class will be
[tex]\begin{gathered} Pr(mb)=\frac{160}{2081} \\ Pr(ny)=\frac{287}{2,081} \\ Pr(mb)+Pr(ny)=\frac{160}{2081}+\frac{287}{2081}=\frac{447}{2081} \\ =0.2148 \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow0.2148[/tex]