While preparing for their comeback tour, The Flaming Rogers find that the average time it takes their sound tech to set up for a show is

55.5

minutes, with a standard deviation of

7.8

minutes. If the band manager decides to include only the fastest

20%

of sound techs on the tour, what should the cutoff time be for concert setup? Assume the times are normally distributed.

Refer to the table of values (Area Under the Standard Normal Distribution) as needed. If necessary, round your answer to the nearest minute.

The cutoff time for concert setup rounded to the nearest minute should be

minutes.