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

Descriptive statistics for every stock, Simple Linear Regression One ca...

Simple Linear Regression One calculate of the risk or volatility of an individual stock is the standard deviation of the total return (capital appreciation plus dividends) over

Multi stage or cluster random sampling, Multi stage or Cluster Random sampl...

Multi stage or Cluster Random sampling  Under this method, the random selection is made of primary, intermediate and final units from a given population. The area of investigat

Express the null hypothesis, Examine the given statement, then express the ...

Examine the given statement, then express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form. The mean weight of women who won a beauty pageant is equal t

Decision making ., it is said that management is equivalent to decision mak...

it is said that management is equivalent to decision making? do you agree? explain

Variance, Variance The term variance was used to describe the square of...

Variance The term variance was used to describe the square of the standard deviation by R.A.Fisher. The concept of variance is highly important in areas where it is possible to

Skewness, Skewness Meaning and Definition  Literal meaning of skew...

Skewness Meaning and Definition  Literal meaning of skewness is lack of symmetry; it is a numerical measure which reveals asymmetry of a statistical series. According t

Spatial ability test, What would be the cutoff score to indicate a score th...

What would be the cutoff score to indicate a score that is in the top 15% of the scores on a test with a mean of 100 and a standard deviation of 15? This question has multiple p

Risk of portfolios, Risk of Portfolios So far, we have seen the applic...

Risk of Portfolios So far, we have seen the application of standard deviation in the context of risk in single investment. But usually most investors hold portfolios of securi

Calculate unbiased estimate of the variance, This question has two parts wi...

This question has two parts with multiple items to answer. You are a psychologist who has collected the subjective well-being scores of a number of elderly people aged 90 or abo

Multivariate analysis, Multivariate analysis involves a set of techniques t...

Multivariate analysis involves a set of techniques to analyse data sets on more than one variable. Many of these techniques are modern and often involve quite sophisticated use of

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