Question: During peak times the entry gate at a large amusement park experiences an average arrival of 500 customers per minute, according to a Poisson distribution.

During peak times the entry gate at a large amusement park experiences an average arrival of 500 customers per minute, according to a Poisson distribution. The average customer requires four seconds to be processed through the entry gate. The park’s goal is to keep the waiting time less than five seconds. How many entry gates are necessary to meet this goal?

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