Question

On average, one autopass every six minutes through a sector in which you plan to build a tunnel. The passage of many vehicles would indicate a risk of congestion in the new construction. The engineers in charge of the project need to determine if the probability that more than 5 vehicles circulate in the sector in one hour is less than 0.04.

Answer 1

The average number of pass throughs in an hour is computed as:

= (60/6)* Average number of pass through in 6 minutes

= 10

Therefore the probability that more than 5 vehicles circulate in the sector in one hour is computed now using the poisson probability function here as:

Therefore the probability of more than 5 vehicles is in fact way greater than 0.04 which is actually equal to 0.93291.