benny the barber owns a small shop. benny gives an average of 5 haircuts per hour and the average amount of…

benny the barber owns a small shop. benny gives an average of 5 haircuts per hour and the average amount of time spent by a customer in the shop is 42 minutes. then, the average number of customers in the shop is (round it to one decimal point)

benny the barber owns a small shop. benny gives an average of 5 haircuts per hour and the average amount of time spent by a customer in the shop is 42 minutes. then, the average number of customers in the shop is (round it to one decimal point)

Answer

Explanation:

Step1: Convert time to hours

Since 1 hour = 60 minutes, 42 minutes = $\frac{42}{60}=0.7$ hours.

Step2: Use Little's Law

Little's Law states that $L = \lambda W$, where $L$ is the average number of customers in the system, $\lambda$ is the arrival rate (or service rate in a stable - state), and $W$ is the average time a customer spends in the system. Here, $\lambda = 5$ haircuts per hour and $W=0.7$ hours. So, $L=\lambda\times W = 5\times0.7 = 3.5$.

Answer:

3.5