Calculate the mean value and variance, Basic Statistics

Assignment Help:

1. Generate 1000 samples for each of the following discrete random variables:

(a). Binomial distribution with n=40, p=0.7, and distr. with n=50, p=0.5

(b). Geometric distribution with p=0.5 and distr. with p=0.3

(c). Poisson distribution with λ= 6 and λ= 4.5

For each class of the above distribution, plot probability mass function for each set parameters on one figure (you should have two curves on each figure and have three figures overall). In addition, you should also plot the corresponding analytical results (probability mass function curve based on distribution formulas) on the same figure. In this way, you can verify whether your simulated random variables match with analytical results. That means on each figure, there are four curves (two simulations, two analytical). Use "legend" to denote each curve, and use different line style and color for each curve (see help on plot()). You should show the X-axis with reasonable range such that the curves can be clearly seen (check wikipiedia's figures for these distributions).

In addition, calculate the mean value and variance of generated samples for each distribution (sample mean and sample variance). Compare the results with the analytical results.


Related Discussions:- Calculate the mean value and variance

Calculate stress in the string, question.. A prevent of huge m1 and bodywe...

question.. A prevent of huge m1 and bodyweight w1 = m1g goes on a stage frictionless exterior. It is attached by a gentle versatile string moving past over a little frictionless l

Confidence interval for a proportion, The quick method for a confidence int...

The quick method for a confidence interval for a proportion uses p ±1/√n as an approximation for a 95% confidence interval.  The margin of error in this case is slightly larger tha

Explain the term “trial balance” and its needs, Explain the term “Trial Bal...

Explain the term “Trial Balance” and its needs for an organization. Ans. A Trial Balance is a statement of summarization of the all the involved ledgers accounts at the end of th

Mean - median and frequencies, Put the appropriate summary statistics, e.g....

Put the appropriate summary statistics, e.g. mean, median, frequencies, percentages, for the different variables into a table to make them concise. You can see examples of consise

estimate the mean chloride concentratio, An article in the Journal of Env...

An article in the Journal of Environmental Engineering (Vol. 115, No. 3,1989, pp. 608-619) reported the results of a study on the occurrence of sodium and chloride in surface str

Prepare the journal entries, 1. Unrestricted cash contributions receiv...

1. Unrestricted cash contributions received during the year, $300,000. 2. Restricted cash contributions were received during the year for the following: Education

Calculate the probability , In the 2009 Season, the Toronto Blue Jays finis...

In the 2009 Season, the Toronto Blue Jays finished the season with a record of 75-87. In 47 of those games, both the offense and defense performed adequately, and in 42 of them, ne

SPSS, Assignments due 9/14/2012 Need pricing

Assignments due 9/14/2012 Need pricing

Annual breakeven point, Hanks Western Wear is a western hat retailer in Lub...

Hanks Western Wear is a western hat retailer in Lubbock, TX.  Though Hanks carries various styles of western hats, every hat has approximately the similar price and invoice (purcha

Conversion process from gaap to ifrs, How important a role do you think IT ...

How important a role do you think IT will play in the conversion process from GAAP to IFRS? Manager 1: Earlier, we never expected the new rules to have such an impact on the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd