Final answer:
The 90th percentile of 13.5 minutes indicates that 90 percent of people wait 13.5 minutes or less. Without more information about service rate and individual wait times, it's not possible to directly calculate each person's wait time based on their position on the list.
Step-by-step explanation:
According to the information provided, the 90th percentile is 13.5 minutes, meaning that 90 percent of the people on the wait list wait 13.5 minutes or less. Since there are 10 names on the small party waitlist and the nametaker has a total of 17 names, it can be assumed that your position on the waitlist could affect your waiting time.
However, the provided percentile does not directly correlate with the number of names on the waitlist, so additional information would be needed to accurately calculate the wait time. If the waitlist moves linearly and service capacity is consistent, we can infer that being within the 90th percentile means a person would wait for approximately 13.5 minutes or less, regardless of their position on the list.