Answer:
a
[tex]A_w = 1.667 \ hour [/tex]
b
[tex]b = 0.667 \ hour [/tex]
Step-by-step explanation:
From the question we are told that
The mean number of ticket per hour is [tex]\mu = 12 \ tickets[/tex]
The mean number of customers arrive to purchase tickets each hour is [tex]\lambda = 8 \ customers[/tex]
Generally the average time the ticket buyer must wait is mathematically represented as
[tex]A_w = \frac{\lambda }{ \mu [\mu -\lambda]}[/tex]
=> [tex]A_w = \frac{8 }{ 12 [12-8]}[/tex]
=> [tex]A_w = 1.667 \ hour [/tex]
Generally the portion of time is the ticket seller busy is mathematically represented as
[tex]b = \frac{\lambda}{ \mu}[/tex]
=> [tex]b = \frac{8}{ 12} [/tex]
=> [tex]b = 0.667 \ hour [/tex]
