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

Internal rates of return , A consumer product firm finds that its brand of ...

A consumer product firm finds that its brand of laundry detergent is losing market share, so it decides that it needs to "freshen" the product. One strategy is to maintain the curr

Interpret predictability and behaviou, Shafts are cut to length by two mach...

Shafts are cut to length by two machines, A and B. Each machine cuts 50 percent of all shafts in approximately the same amount of time. Machine A''s shafts are all good, but Machin

Karl Pearsons, ). Calculate Karl Pearson’s coefficient of correlation from...

). Calculate Karl Pearson’s coefficient of correlation from the following data , using 20 as the working mean for price and 70 as the working mean for demand: Price: 14 16 17 18 1

DATA MINING, please break this problem down to laymen term so that I unders...

please break this problem down to laymen term so that I understand how you arrived at the answer. 1. AllElectronics caries 1000 products, P1, … P1000. Consider customers Ada, Bob,

Discrete Standard Deviation, Discrete Standard Deviation For calculating s...

Discrete Standard Deviation For calculating standard deviation in discrete series any of the following methods may be applied (1) Actual mean method. (2) Assumed mean method. (

Amortized cost , Amortized cost The par value of its decision enhanced or ...

Amortized cost The par value of its decision enhanced or lowered by any unamortized top quality or lower price.

Check register, Check register The text or document used to evidence perti...

Check register The text or document used to evidence pertinent details relating to expenditure/expense vouchers & coding for each ensure issued,

Linear Programming Models), #This is a chance to perhaps incorporate some o...

#This is a chance to perhaps incorporate some of your experience, interests, and career business/management goals and ambitions within the context of an individual project paper.

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