# Probability MBA 1st Year Semester Long Question Answers Study Material Notes

Q.6. Define probability distribution. Explain the salient features of Binomial, Poisson and Normal

distribution. (2008-09, 12-13)

Ans. Probability Distribution: According to Robert Parket, probability distribution consists of mutually exclusive and exhaustive compilation of all random events that process and the probability of each event occurring. It is a mathematical model that represents the distribution of the universe, the distribution shows the results we would obtain, if we take many of the probability samples and compute the statistics for each sample. A table listing all possible values that a random variable can take on together with the associated probabilities is called a probability of distribution. The probability distribution of X where X is the number of spots showing when a six sided symmetrical die is rolled is as:

The sum of all probabilities in a probability distribution is 1 since, one of the values produced by a random experiment must occur, if the experiment is performed.

They serve as benchmarks against which to compare observed distributions which act as substitutes for actual distributions when the latter are costly to obtain. They provide decision-makers with a logical basis for making decisions and hence are useful in making various predictions on the basis of limited information or any theoretical consideration.

Salient Features of Binomial, Poisson and Normal Distribution : Refer to Section-C, Q.7,8,9.

Q.7. What is the binomial distribution? Explain the assumptions and properties of binomial distribution. Or Write a note on binomial distribution.(2005-06)

Ans. Binomial Distribution: Binomial distribution is associated with the name of Swiss mathematician James Bernoulli (1654-1705). However, it was published in 1713, eight years after his death. It is also known as Bernoulli’s distribution. Trial or process, the literal meaning of the word ‘Binomial’ is two groups or dichotomous alternatives. Hence, in this distribution, frequencies are divided on the basis of two possible outcomes, which for the sake of convenience are called as success and failure.

Definition of Binomial Distribution

Binomial distribution is a discrete frequency distribution, which is based on dichotomous alternatives, i.e. on the basis of probability of data of success (desired event) and failure. This distribution, in the form of probability density function, can be expressed as follows:

P(x)= “Cxq”- *px or

P (n)= “Cq-“p”

where, p= Probability of success,

q = Probability of failure or 1 – p,

n= Number of trials,

x and r = Number of successes in n trials.

Conditions for Applications or Assumptions of Binomial Distribution

Binomial distribution can be applied only under following conditions:

1 Finite Number of Trials: In this distribution, the number of trials should be finite and fixed, i.e. an experiment is repeated under identical conditions for a fixed number of trials.

2. Mutually Exclusive Outcomes: In each trial, there must be only two possible outcomes of the event which are mutually exclusive. For example, when we toss a coin, there are only two possible outcomes: head or tail and one of them must happen.

3. Same Probability in Each Trial: The probability of the happening of an event (or success) denoted by pin each trial remains constant. For example, the probability of a head or a tail is constant for all unbaised throws of the coin.

4. All Trials Independent: All trials must be independent of each other, i.e. the result of any trial should not be affected by the result of a previous or subsequent trial.

5. Discrete Variable: The variable should be discrete, i.e. failure or success should be in whole numbers.

``` ```
``` ```
``` Post navigation ← Previous PostNext Post → Related Posts Topic Wise BCom Financial Accounting Study Material Notes Leave a Comment / A2Z Notes, BCOM Study Material Notes / By Manoj Saxena All Stream All Boards All Subjects Study Material and Notes Leave a Comment / A2Z Notes, All Boards All Class All Subjects Notes, BBA 1st 2nd 3rd Year Study Material Notes, BBA Mock Test, BCOM Study Material Notes, CBSE Class 9 Biology Notes, CBSE Class 9 Chapter Wise Notes and Study Material, chapter 2/ Tissue/ Notes/ CBSE/NCERT /Class 9, Chapter 7/ NCERT/CBSE /Diversity In Living Organisms, Chapter Wise NCERT Solutions, Class 10, Class 10 Biology, Class 10 Board Examination Papers, Class 10 Study material, Class 9 Chapter- Improvement in Food Resources, D.El.Ed Study Material Notes, DElEd Sample Model Practice Question Answer Previous Year Papers, Sample Paper Class 9, unsolved Sample papers Class 9, Unsolved Sample Papers Class 9 / By Manoj Saxena Leave a Comment Your email address will not be published. Required fields are marked *Type here..Name* Email* Website Save my name, email, and website in this browser for the next time I comment. ```
``` ```
``` Search for: Categories A2Z Notes All Boards All Class All Subjects Notes BCOM Study Material Notes CBSE Class 9 Chapter Wise Notes and Study Material CBSE Class 9 Biology Notes chapter 2/ Tissue/ Notes/ CBSE/NCERT /Class 9 Chapter 7/ NCERT/CBSE /Diversity In Living Organisms Chapter Wise NCERT Solutions BBA 1st 2nd 3rd Year Study Material Notes BBA Mock Test D.El.Ed Study Material Notes DElEd Sample Model Practice Question Answer Previous Year Papers BBA 3rd Year Long Question Answer BBA 3rd Year Question Answer BBA 3rd Year Short Question Answer BBA Very Short Question Answer Business Communication Class 10 Class 10 Biology Class 10 Study material Class 10 Board Examination Papers Class 9 Chapter- Improvement in Food Resources M Com 2nd Year Multiple Choice Question Answer M.Com M.Com 2nd Year M.Com Question Answer MBA MBA 1st 2nd Year Study Material Notes MBA 1st Year Business Statistics MBA 1st year Model Paper MBA 1st Year Question Answer MBA 2nd Year Question Answer MBA First year Business Environment MBA 1st Year Computer Applications And Management Information System Sample Paper Class 9 Unsolved Sample Papers Class 9 unsolved Sample papers Class 9 Recent Posts Physical Organic Inorganic Chemistry Solved Question Answer for JEE MBA 1st Year Economic Political Legal Environment Long Question Answer MBA 1st Year Economic Political Legal Environment Very Short Question Answer MBA 1st Year Economic Political Legal Environment Short Question Answer MBA 1st Year Objectives Business Environment Long Question Answer Set Recent CommentsCategoriesCategories Select Category A2Z Notes All Boards All Class All Subjects Notes BBA 1st 2nd 3rd Year Study Material Notes BBA 3rd Year Long Question Answer BBA 3rd Year Question Answer BBA 3rd Year Short Question Answer BBA Mock Test BBA Very Short Question Answer BCOM Study Material Notes Business Communication CBSE Class 9 Biology Notes CBSE Class 9 Chapter Wise Notes and Study Material chapter 2/ Tissue/ Notes/ CBSE/NCERT /Class 9 Chapter 7/ NCERT/CBSE /Diversity In Living Organisms Chapter Wise NCERT Solutions Class 10 Class 10 Biology Class 10 Board Examination Papers Class 10 Study material Class 9 Chapter- Improvement in Food Resources D.El.Ed Study Material Notes DElEd Sample Model Practice Question Answer Previous Year Papers M Com 2nd Year Multiple Choice Question Answer M.Com M.Com 2nd Year M.Com Question Answer MBA MBA 1st 2nd Year Study Material Notes MBA 1st Year Business Statistics MBA 1st Year Computer Applications And Management Information System MBA 1st year Model Paper MBA 1st Year Question Answer MBA 2nd Year Question Answer MBA First year Business Environment Sample Paper Class 9 unsolved Sample papers Class 9 Unsolved Sample Papers Class 9 /* <![CDATA[ */ (function() { var dropdown = document.getElementById( "cat" ); function onCatChange() { if ( dropdown.options[ dropdown.selectedIndex ].value > 0 ) { dropdown.parentNode.submit(); } } dropdown.onchange = onCatChange; })(); /* ]]> */ Archives November 2021 April 2021 February 2020 January 2020 December 2019 November 2019 October 2019 August 2019 July 2019 June 2019 May 2019 April 2019 March 2019 July 2018 June 2018 April 2018 March 2018 February 2018 ```
``` ```
``` Home About Academics Activities Contact A2Znotes.com L-1, Pallavpuram Phase 2, Modipuram, Meerut, Uttar Pradesh 250110 Contact Details +91 9286 333 555 9:00 a.m. – 7:00 p.m. saxenadebnash111@gmail.com Latest Post Physical Organic Inorganic Chemistry Solved Question Answer for JEE MBA 1st Year Economic Political Legal Environment Long Question Answer MBA 1st Year Economic Political Legal Environment Very Short Question Answer MBA 1st Year Economic Political Legal Environment Short Question Answer MBA 1st Year Objectives Business Environment Long Question Answer Set Home About Academics Activities Contact Copyright © 2021 A2ZNotes.com | Site Designed and Devloped by Maxen Computers ```
``` var astra = {"break_point":"921","isRtl":""}; var elementskit = { resturl: 'http://a2znotes.com/wp-json/elementskit/v1/', } /(trident|msie)/i.test(navigator.userAgent)&&document.getElementById&&window.addEventListener&&window.addEventListener("hashchange",function(){var t,e=location.hash.substring(1);/^[A-z0-9_-]+\$/.test(e)&&(t=document.getElementById(e))&&(/^(?:a|select|input|button|textarea)\$/i.test(t.tagName)||(t.tabIndex=-1),t.focus())},!1); ```