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group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which therewere 2317 class attendees. The data is summarized in the table below.Class Type and Member Status of ClassAttendeesClass TypeMemberNon-MemberBarreBoot CampBoxingSpinningYoga29025420795232241245169297287What is the probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a yoga class? Enter afraction or round your answer to 4 decimal places, if necessary. Lo

group fitness gym classifies its fitness class attendees by class type and member status The marketing team has gathered data from a random month in which there class=

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First, the probability of a class attendee being a non-member and attending a barre class is

[tex]P(Non\cap Barre)=\frac{241}{2317}[/tex]

While the probability of class attendee being a member and attending a yoga class is

[tex]P(Member\cap Yoga)=\frac{232}{2317}[/tex]

Finally, the probability of the first event or the second event is

[tex]\begin{gathered} P((Non\cap Barre)\cup(Member\cap Yoga))=P(Non\cap Barre)+P(Member\cap Yoga) \\ =\frac{232+241}{2317}=\frac{473}{2317} \end{gathered}[/tex]

In a decimal expression,

[tex]\Rightarrow P((Non\cap Barre)\cup(Member\cap Yoga))=0.204143\ldots\approx0.2041[/tex]

The answer is 473/2

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