Reference no: EM131154422
Problem 1
Customers arrive at Jackie's Jelly Bean Joint according to a Poisson process at the rate of 1 customer every 3 minutes where {X(t); t ≥ 0} represents the number of arrivals by time t. Jackie's opens each day at 8 AM. (Please convert all times to hours)
(a) The interarrival times are distributed as with ______mean___
(b) The probability that one customer arrives before 9:00AM is____
(c) The distribution of X(t) is____
(d) The distribution of the number of arrivals that occur between 3PM and 4:30PM is____
(e) The probability that 1 or more arrivals occur before 8:06AM is______
Note, to answer what a distribution is, you need to specify the name of the distribution and the value(s) of the parameter(s) of the distribution.
Problem 2
An athletic ticket office has two ticket agents answering incoming phone calls for ticket reser- vations. (Each agent has its own phone.) In addition, one caller can be put on "hold" until one of the agents is available to take the call. If both agent phones and the hold line are all busy, an arriving call gets a busy signal, and it is assumed that business is lost. The arriving calls occur according to a Poisson process with rate 12 calls/hour. Call lengths are exponentially distributed with average 4 minutes in length. Convert all rates to hourly rates.
(a) Find the long run probability that a caller gets an agent immediately?
(b) Find the long run probability that a caller is put on hold?
(c) Find the long run proportion of business that is lost.
How will the retina know you have arrived
: How will the retina know you've arrived? How will it tell what color of light you are? What will it tell the brain about you
|
Create a access database to store patient demographics
: As a data steward, you have been asked to create a Microsoft Access database to store patient demographics. Once you have created the database, you must write policies to govern how the data should be collected, stored, and shared.
|
Describe course concepts that either have seemed familiar
: Discuss your overall perceptions of the Research and Writing course thus far. Describe the course concepts that either have seemed familiar or have confused to you. Determine the one (1) or two (2) specific concepts that you would you like explore..
|
How did clarks save the company by using systems thinking
: How did Clark's save the company by using systems thinking.- Identify three to five major concepts of system thinking and then explain how when applied they worked for Clark's and its competitors.
|
Find the long run proportion of business that is lost
: An athletic ticket office has two ticket agents answering incoming phone calls for ticket reser- vations. (Each agent has its own phone.) In addition, one caller can be put on "hold" until one of the agents is available to take the call.
|
Should we mount a massive effort to restore ecosystems
: Based on what you have read and researched, do you believe that the loss of biodiversity is a concern for humans? Should the government not only preserve but restore ecosystems that we have degraded the biodiversity even though this will be quite ..
|
Determine the resultant line current and power factor
: A three-phase load, connected to a 440-V bus, draws 120 kW at a power factor of 0.85 lagging. In parallel with this load is a three-phase capacitor bank that is rated 50 k VAR. Determine the resultant line current and power factor.
|
Find a popular press article or journal article
: Find a popular press article or journal article in which someone argues a point that you disagree with. Write a paragraph agreeing with this person
|
Compute the source current
: A 230-V, single-phase, 60-Hz source supplies two loads in parallel. One draws 10 kVA at a lagging power factor of 0.80 and the other draws 6 kW at a lagging power factor of 0.90. Compute the source current.
|