Question

**Switzerland has lots of tunnels. Too many vehicles in
the tunnel can create a hazardous situation. On average the time to
pass Gotthard tunnel has mean of 12.1 minutes and standard
deviation of 3.8 under ordinary traffic conditions. It is assumed
that if the traffic passes the tunnel slower than in 13 minutes, it
creates a ventilation problem for the tunnel. If the time is faster
than 11 minutes, the movement is too fast and
dangerous.**

**a) For a car what is the chance that it passes through
the tunnel in optimal time?**

**b) If there are 50 cars presently in the tunnel, what
would be the chance that they all pass the tunnel on average in
optimal time (between 11 and 13 minutes)? Did your answer change
from question a)? Explain.**

Answer #1

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