this is all one question...

Section 2 Subway (located near the McNeese campus) is analyzing its simplified , two-step process for a given time period A customer arrives and waits in the sandwich queue (where a single server in an M / M / 1 layout makes the entire sandwich bread, meat, veggies , etc.), then proceeds to ar M / M / 1 payment queue (wrapping, packaging , and payment) before exiting the system. The manager has provided us with an arrival rate of lambda = 0.4 customers per minute and the following metrics Subway queuing metrics Sandwich queue Payment queue Queue structure one M/M/1 queue one M / M / 1 queue Arrival rate per minute per minute Service time E[Pi] = 2 minutes E[T] = 1.25minutes What is the mean service rate Handwich (in customers per minute ) for the sandwich queue ? a0.5 customers per minute . 0.8 customers per minute 0.3 customers per minute

What is the mean number of customers in line for the sandwich queue, E[L a sandwich? a. 8.1 customers . 3.2 customers . 1.5 customers

Determine the distribution of the variable L sandwich for the sandwich queue . a. Geometric (0.5) b . Geometric (0.7) c. Geometric (0.2)

What are the descriptive statistics (mean Ellsandwichand standard deviation O Lsandurich ) for the average number of customers (waiting and being served ) at the sandwich queue? a mean = 9 customers st * dev = 9.5 customers b mean = 4customers; st * dev = 4.5 customers mean = 1.5customers; st * dev = 2 customers

What is the probability of more than five customers in the system, P(L sandwich >5), for the sandwich queue? a 0.26 b. 0.18 0.05

What is the probability of less than-or equal-to three customers in the system, P(L sandwich <=3), for the sandwich queue? a0.68 0.59 0.94 Clear my choic

How many customers (waiting and being served) are in the payment queue, on average E[L p payment? acustomers b1 customer 4 customers

What is the average number of customers in the two-step process (sandwich queue and payment queue), E[L sandwich + 1 payment ]=; E[L uredwich ]+E[L payment ]) Here, I'm using this notation instead of the generalized " from the two -step McDonald's example see the extra problems file), but it means the same thing. 1 customer b. 4 customers customers

How long does an average customer spend in the two-step process (in minutes ) from the time they arrive, E[W sandwich +W payment ] ? Hint: we know Little's Law always works, and we have E[L sandwicn + lfloor payment rfloor from the above problem and from the scenario .) a2.5 minutes b10 minutes 12.5 minutes Clear my choice