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

Postneonatal mortality rate, Mid year population 440000 Late fatal death...

Mid year population 440000 Late fatal death          29 No. of live birth           5200 No. of infant death      423 No. of maternal death 89 No. of infant deaths i

Regression model, A real estate agency collected the data shown below, wher...

A real estate agency collected the data shown below, where           y  = sales price of a house (in thousands of dollars)           x 1 = home size (in hundreds of square f

Determine maximum process variability, You are attempting to purchase ...

You are attempting to purchase a part from a specialty vendor. Your company requires a C p of at least 1.67 on a critical dimension of the part. The dimensional specific

Probability distribution of the number of sales, A salesperson visits from ...

A salesperson visits from house to house to sell her knives. The probability that she makes a sale at a random house is .3. Given that she makes a sale, the sale is worth $100 with

Mode, Mode Mode is the value of the observation which occurs with the  ...

Mode Mode is the value of the observation which occurs with the   greatest  frequency and thus  it is the most fashionable value, Mode has been derived from French  word  La  m

Correlation analysis, Correlation Analysis Correlation Analysis is perf...

Correlation Analysis Correlation Analysis is performed to measure the degree of association between two variables. The measure is called coefficient of correlation. The coeffic

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

Dominant strategy equilibrium, Consider the following game: (a) If ...

Consider the following game: (a) If (top, left) is a Weakly Dominant Strategy Equilibrium, then what inequalities must hold among (a, ..., h)? (b) If (top, left) is a Na

Regression and anova, The first step in this case is to ensure that you ar...

The first step in this case is to ensure that you are adequately clear on the General Linear Model and its relationship to both ANOVA and regression. The distinction is approxim

Physics, fixed capacitor and variable capacitor

fixed capacitor and variable capacitor

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