Question 1 consider an mm2 system with arrival rate lambda, Ask an Expert

Statistics

Question: 1. Consider an M/M/2 system with arrival rate λ and service rate µ, where λ < 2µ.="">

a) Find the differential equation that govern the time-dependent probabilities pj(t).

b) Find the asymptotic probabilities πj.

2. Consider a call center with two phone lines for service. Assume that calls arrive according to a Poisson process with rate λ. During some measurements it was observed that both the lines are busy 50% of the time, whereas the mean call-holding time was 1 min. Calculate the call queueing probability in the case that the mean call holding time increases from 1 min to 2 min.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92759553

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

During the winter of 2008-2009 the average utility bill for

During the winter of? 2008-2009, the average utility bill for residents of a certain state was ?$173 per month. A random sample of 30 customers was selected during the winter of? 2009-2010, and the average bill was found ...

A recent study found that 64 of workers between the ages of

A recent study found that 64?% of workers between the ages of? 20-29 cash out their retirement accounts when they lose their jobs or move to a new employer. Complete parts a through e below based on a random sample of 14 ...

Translate the statement into a confidence interval for p

Translate the statement into a confidence interval for p. Approximate the level of confidence. In a survey of 1000 U.S. adults, 19% are concerned that their taxes will be audited by the Internal Revenue Service. The surv ...

Suppose that 20 of men p20 and 15 of women p 15 are

Suppose that 20% of men (P=.20) and 15% of women (P= .15) are carriers of a particular genetic trait. That trait can only be inherited by a child if both parents are carriers. What is the probability that a child is born ...

As an experiment the investigators decided to take two

As an experiment, the investigators decided to take two measurements on the patient. One measurement will be made using the precise machine (withσI= 5) and the other will be made using the less precise machine (withσII= ...

Suppose that a certain college class contains 55 students

Suppose that a certain college class contains 55 students. Of these, 31 are sophomores, 28 are history majors, and 6 are neither. A student is selected at random from the class. (a) What is the probability that the stude ...

Income can have significant effects on peoples spending

Income can have significant effects on people's spending patterns. Research studies have revealed that consumer expenditure is influenced by various factors such as their income, gender, age and level of education. In or ...

You are leasing a car for 48 months you put down 2000 now

You are leasing a car for 48 months. You put down $2000 now and agree to $500 monthly payments. The residual value is $15,000. The financing rate is 8% (monthly compounded). How much is the car worth?

A system has two independent components both components

A system has two independent components. Both components must function for the system to function. The first component has 7 components that each work with probability 0.95. If at least 5 elements are working then the fi ...

Calculate the standard deviation of a portfolio consisting

Calculate the standard deviation of a portfolio consisting of 40 percent stock X and 60 percent stock Y. Company Beta Expected Return Variance Covariance X 1.8 0.18 0.30 COVx,y=0.080 Y 2.6 0.22 0.04 Round to the nearest ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert