Question

A 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 2043 class attendees. The data is summarized in the table below.Class Type and Member Status of ClassAttendeesClass TypeBarreBoot CampBoxingSpinningYogaMember28417020329096Non-Member27622620493201What is the probability that an attendee does not attend a spinning class? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answer 1

`P=(1660)/(2043)\approx0.8125`

Step-by-step explanation

As we are asked for the probability that an attendee does not attend a spinning class, we would have to add all those that are not in the spinning classification and divide them over the total attendees.

Also, we can calculate the probability of attendees that attend the spinning class and subtract it from 1.

0. Calculating the probability of attendees that attend the spinning class

We are given that 290 members and 93 non-members assist in the spinning class, and we are told that the total of attendees are 2043, thus:

`P=(290+93)/(2043)`
`P=(383)/(2043)\approx0.1875`

2. Calculating the probability that an attendee does not attend a spinning class

As in the last part we calculated the probability of attendees that attend the spinning class, to calculate the probability that an attendee does not attend a spinning class we have to subtract the latter from 1 as follows:

`P=1-(383)/(2043)=(1660)/(2043)\approx0.8125`