n an amusement park, the bumper cars are sometimes becoming disabled and in need of repair. The repairman can fix the disabled bumper cars in an average time of 20 minutes with a standard deviation of 20 minutes. Cars tend to break down at two per hour between two consecutive breakdowns following an exponential distribution. What is the total time for a disabled bumper car to be fixed

1 hour 20 minutes

Step-by-step explanation:

Time to fix car ( repair time ) = 20 minutes

Breakdown rate ( λ )  = 2 car per hour

first step : determine service the service rate ( μ )

= 60 minutes / 20 minutes

= 3 cars per hour

next : determine the average waiting time for a disabled car

=  1 / (μ - λ)

= 1 / service rate - breakdown rate

= 1 / ( 3 - 2 )

= 1 / 1 =  1 hour

Finally Total time for a disabled car to be fixed

= repair time + average waiting time

= 20 minutes + 60 minutes

= 1 hour 20 minutes

true

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right