Binomial distribution, Applied Statistics

Assignment Help:

Binomial Distribution

Binomial distribution  was discovered by swiss mathematician James  Bernonulli, so this distribution is called as Bernoulli distribution also, this is a discrete frequency distribution.

Assumptions of a binomial Distribution

1.       The random experiment  is performed repeatedly with a fixed  and finite  number of trials. N is denoted by number of trials.

2.      There are two mutually exclusive  possible outcomes on each trial which  are known as success and failure success is  denoted by  whereas failure is denoted  by q, and p+q = 1  or  q=1-p1.

3.      The outcomes  of any given  trial does not affect the outcomes  on subsequent  trials means the trials  are independent.

4.      The probability  of success  and failure (p&q)  remains constant from trial to  trial. If in any distribution the p& q  does not remain constant    that distribution cannot be a binomial distribution, For  example  the probability  of getting  head  must remain  the same in each  toss i.e. ½  similarly  the probability  of drawing  4 balls  from a bag containing  6  red  and 10 white balls  does not  change in successive  draws  with replacement, hence it  will be called  as binomial distribution .But in contrary  to this, if balls  are not replaced  after  each trail then it will not be a binomial  distribution.

5.      If all above  assumptions are satisfied , the probability of exactly  r successes in  n trials is given by

6.      P(n=r)=n crprqn-r


Related Discussions:- Binomial distribution

Evaluate the standard deviation, You have an assembly line which produces 1...

You have an assembly line which produces 1L bottles of seltzer with a standard deviation of 0.05L. • Assuming the distribution of volume is normal, what is the chance any single

#Probablility, #In planning the teaching assignments for next semester, Mr....

#In planning the teaching assignments for next semester, Mr. Hinton must have a teacher in each of the 7 grades during each of the 6 periods of the day. If he has 10 teachers to ch

Association of attributes, In an examination 600 candidates appeared, boys ...

In an examination 600 candidates appeared, boys outnumbered girls by 16% of all candidates. number of passed candidates exceeded the number of failed candidates by 310. Boys failin

Carpal tunnel statistics, Cindy, the Assistant Vice President of Engineerin...

Cindy, the Assistant Vice President of Engineering/Administrative Services at Blue Cross Blue Shield Rhode Island (BCBSRI), has seen all of the OSHA statistics: In 2000, 1

Determine relative frequency, A sample of college students and a separate s...

A sample of college students and a separate sample of adults aged 30-59 were surveyed regarding the amount of fruit they eat each day.  The results are shown in the histograms belo

Its a portfolio assignment, i m doing MBA in singapore and i want a good wo...

i m doing MBA in singapore and i want a good work. i want a data for 200 observations and then answers for some questions. and i need the data to be approved by our professor first

Interpolation and extrapolation, Meaning of Interpolation and Extrapolation...

Meaning of Interpolation and Extrapolation Interpolation is a method of estimating the most probable  missing figure on  the basis of given data under certain assumptions. On t

Evaluate minimum capability requirement, You are currently working wit...

You are currently working with a supplier who is producing a shaft whose diameter specification is 6.00 ± .003 inches.  Currently, the process is yielding shafts wit

Weighted harmonic mean, Weighted Harmonic Mean Weighted Harmonic ...

Weighted Harmonic Mean Weighted Harmonic Mean is calculated with the help of the following formula: WHM Case

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