Find distribution - expected value and variance, Advanced Statistics

We are installing a router for our network.

We believe that the time between the arrival of packets will be exponentially distributed with parameter R = 2 packets/second, and that these times are independent given R. We believe that each packet, independently, will either go to the server (with probability S = 0.4), the laser printer (with prob. 0.2), or to one of computers (with prob. 0.4).

We believe that each packet's size in kilobytes, independently, has a Normal(1, 0.01) distribution.

1. A tasty byte

a) Consider the total size of the next ten packets in kilobytes. Find its distribution, expected value and variance, and the probability it is less than 9.5 kilobytes.

b) Consider the largest and the smallest of the next ten packets. Find their distributions and, for each, the probability it is less than 1.01 kilobytes.

c) Consider how many of the next ten packets are less than 1.02 kilobytes. Find its distribution, expected value and variance.

d) Consider how many of the next thousand packets are less than 1.02 kilobytes. Find its expected value and variance, and approximate its distribution and the probability that at least 575 of those packets are less than 1.02 kilobytes.

e) Consider the next three packets to arrive. Find the probability that the first is at least 0.1 kilobytes larger than the average of the other two.

Posted Date: 2/25/2013 1:39:08 AM | Location : United States







Related Discussions:- Find distribution - expected value and variance, Assignment Help, Ask Question on Find distribution - expected value and variance, Get Answer, Expert's Help, Find distribution - expected value and variance Discussions

Write discussion on Find distribution - expected value and variance
Your posts are moderated
Related Questions
This is given by common network e.g. Phone Company. The public networks are those networks, which are given by common carriers. It can be a telephone company or an other organizati

In the time series plot and scatter graphs there were many outliers that were clearly visible. These have been removed to identify if they were influential or had high leverage and

Genstat: The basic purpose piece of statistical software for the management and the analysis of data. The package incorporates the wide variety of data handling events and a wi

This is extension of the EM algorithm which typically converges more slowly than EM in terms of the iterations but can be much faster in the whole computer time. The general idea o


Matching coefficient is a similarity coefficient for data consisting of the number of binary variables which is often used in cluster analysis. It can be given as follows    he

1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch

I do have a data of real gdp for each state and from 2000 to 2010 and I also have estimated population of illigel immigrants for each state from 2000 to 2010. In my thesis I am try

need answers to questions in book advanced and multivariate statistical methods

An analyst counted 17 A/B runs and 26 time series observations. Do these results suggest that the data are nonrandom? Explain