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

Kripsy kreme, How did round trip transactions violatet the revenue recognit...

How did round trip transactions violatet the revenue recognition principle?

Graph, what is the difference between histogram and historigram

what is the difference between histogram and historigram

Velocity, A car moves with constant velocity along a straight road. Its pos...

A car moves with constant velocity along a straight road. Its position is x1 = 0m at t1 = 0 seconds and is x2 = 56 m at t2 = 5.0 s. what is the cars position at t=2.5 seconds and

According to you are the biggest challenges of moving ifrs, What according ...

What according to you are the biggest challenges of moving to IFRS? Manager 1: Well, there are going to be a lot of changes. IFRS is known to be more principle based than the

Evaluate the strategic value of the proposed organisation, 1) Working in yo...

1) Working in your groups analyse the organisation of information that the Facebook social networking site potentially uses. 2) Suggest the organisation of information and data

Shamim, the monthly income( in tk''s)persons workingin afarmis as flows ,14...

the monthly income( in tk''s)persons workingin afarmis as flows ,14870,14930,15020,14460,14750,14920,15720,15160,14680,14890 find average monthly income?

Describe time cost of working alters of budget constraint, Suppose that an ...

Suppose that an individual has unearned income of $V and can choose how many hours she works per week at a wage of $w per hour.  Assume that she has a total of 110 hours of time to

Describing univeriate data, X 420 610 625 500 400 550 650 480 565 Y 2.80 3...

X 420 610 625 500 400 550 650 480 565 Y 2.80 3.60 3.75 3.00 2.50 2.70 3.50 3.90 2.0 2.95 3.30 Calculate te covarience anf the correlatio coeficient. Comment on the relationship be

Bunco toss, The game of "Bunco" is played with three standard dice. "Bunco"...

The game of "Bunco" is played with three standard dice. "Bunco" occurs when all three dice show the same number of spots. What is the probability of tossing a "Bunco" on the first

Detemine lambda , A.  A computer rejuvenation facility receives systems fro...

A.  A computer rejuvenation facility receives systems from the fleet at 24 systems/day (assume this is a Poisson process).  It takes the triage function 30 minutes (assumed exponen

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