Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?
a. approximately one hour
b. approximately 98 minutes
c. approximately 75%
d. approximately 48 minutes

option (b) Approximately 98 minutes

Explanation:

Given:

Average arrival rate, λ = 6 per 8 hour or  = 0.0125 / minute

Service Rate, μ =  = 0.02/min

Standard Deviation = 20 minutes

Now,.

Utilization Rate, ρ =

or

=

= 0.625

and,

Number of people in Queue =

or

=  

= 0.6042

and,

Waiting in the Queue =

=  

= 48.33  minutes

Thus,

Waiting Time in Office = Wait in the Queue +

= 48.33  minutes +

= 48.33 + 50

= 98.33 minutes

hence, the answer is option (b) Approximately 98 minutes

answer: d. characteristics of guests

explanation: it is directly related to the spending characteristics of attendees who fall into each of these categories:

a) both were commissioned explorers