Question

Arrivals of patrons at a restroom can be modeled with a Poisson process that has 8 arrivals per hour. You

want to model the time between arrivals using the exponential distribution. What value would you use for
the parameter bete? Report as a decimal in HOURS to 2 decimal places.

Answer 1

The value of the parameter beta for the exponential distribution would be approximately 0.125 hours.

Step-by-step explanation:

To model the time between arrivals using the exponential distribution, we need to determine the parameter for the exponential distribution. The parameter for an exponential distribution is the average rate of events, which is the reciprocal of the average time between events. In this case, we know that there are 8 arrivals per hour, so the average time between arrivals would be 1/8 of an hour.

Therefore, the value of the parameter beta for the exponential distribution would be 1/8 or approximately 0.125 hours to 2 decimal places.