Answer:
The equation denoting the number of arrivals in 5 minutes is, .
The number of arrivals in 5 minutes is 2.75.
Step-by-step explanation:
Let <em>X</em> = number of customers arriving at a gas station in an hour.
The average customers arriving at a gas station in an hour is, <em>λ</em> = 33.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.
The probability mass function of a Poisson distribution is:
In 60 minutes the number of arrivals is, 33.
In 1 minute the number of arrival will be, .
Then in 5 minutes the number of arrivals will be, .
The equation denoting the number of arrivals in 5 minutes is, .
The number of arrivals in 5 minutes is
Thus, the number of arrivals in 5 minutes is 2.75.