Trucks arrive at the loading docks of a warehouse at an average rate of $6\mathrm{.}6$ per hour $($Poisson distribution$).$ The warehouse has seven loading docks, each with a dedicated loading team$/$crew$.$ Trucks form a single line. A crew can load a truck at a rate of $1\mathrm{.}2$ trucks per hour $($exponential distribution$).$

What is the probability that a truck has to wait at least $5$ minutes in the queue?

Select one:

a$.$

$36\mathrm{.}4\%$

b$.$

$74\mathrm{.}4\%$

c$.$

$78\mathrm{.}2\%$

d$.$

$45\mathrm{.}6\%$