Please read the scenario below and answer the questions Question $12$ to $18$ below.

CU Denver requires faculty and staff to check in each day when on campus to ensure they are healthy. Each person must present their completed health survey certificate at a check$-$in desk and they then receive a color$-$coded wristband that allows them to be on campus for that day only.

Between $8$AM and $10$AM$,$ the average arrival rate to the check$-$in desk at the business school building is $30$ people$/$hour$.$ It takes $90$ seconds, on average, to complete the check in process. What is the probability of having no customers in the line? $($provide at least three decimals$)$

What is the answer with $3$ decimals and its not $0\mathrm{.}25$