The truck traffic on a highway can be describe as a Poisson process with a mean...

The truck traffic on a highway can be describe as a Poisson process with a mean arrival rate of 1.5 trucks per minute. The weight of each truck is random and the probability that a truck is overloaded is 5%.
a.   What is the probability that there will be at least two trucks passing a weigh stat ion this highway in a 10-minute period? Define the random variable.
b.   What is the probability that at most one of the next 10 trucks stopping at the weigh station will be overloaded? Define the random variable.
c.   Suppose the weigh station will close for 30 minutes for lunch. What is the probability of overloaded trucks passing the weigh station during the lunch break? Define the random variable.

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orchestra answered 1 year ago

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