Trucks are requlred to pass through a welghing station so they can be checked for welght vlolations. Trucks arrive at the station at the

rate of $24$ an hour between $7$:$00$ p$.$m$.$ and $9$:$00$ p$.$m$.$ Currently two Inspectors are on duty during those hours, each of whom can

Inspect $16$ trucks an hour. Use Table $18\mathrm{.}4.$

a$.$ How many trucks would you expect to see at the welghing station, Including those beling inspected? $($Round your answer to $3$

decimal places.$)$

b$.$If a truck was just arriving at the station, about how many minutes could the driver expect to be at the statlon? $($Round your answer

to $2$ decimal places.$)$

$W_s$

min.

c$.$ What is the probability that both inspectors would be busy at the same time?$($Round your answer to $4$ decimal places.$)$

$P_w$

d$.$ How many minutes, on average, would a truck that is not immedlately inspected have to walt? $($Round your answer to the nearest

whole number.$)$

$\{$:$W_a,]$

f$.$ What is the maximum Iine length for a probability of $\mathrm{.}91?($Round up your answer to the next whole number.$)$

$L_{\text{m}\text{a}\text{x}}$