How is probability distribution of random variable construct, Mathematics

Assignment Help:

How is the probability distribution of a random variable constructed?
Usually, the past behavior of the variable is studied and the frequency distribution of the past data is formed. If the past behavior can be taken as a representative pattern of the future also, then the past frequency distribution can be used as a guide for predicting the future values of the random variable. If past behavior cannot help, then a subjective probability distribution of the likely future values is formed on the basis of expert opinion.  

 

Example 

 

The issue pattern of a component AB323 as observed by the storekeeper of XYZ Limited over the past one hundred working days has been summarized below.

Number Issued

No. of days


100

1

101

2

102

3

103

5

104

6

105

7

106

9

107

10

108

12

109

11

110

9

111

8

112

6

113

5

114

4

115

2

From the above table, in addition to observing that the issues have ranged between 100 units to 115 units, the storekeeper can also assess the chances of each quantity being issued by forming a probability distribution.

The probability distribution can be formed by dividing the individual values by 100 (the total number of days over which the observations have been made).

Number issued

Probability that the Random Variable will take on this value


100

0.01

101

0.02

102

0.03

103

0.05

104

0.06

105

0.07

106

0.09

107

0.10

108

0.12

109

0.11

110

0.09

111

0.08

112

0.06

113

0.05

114

0.04

115

0.02

Total

1.00                                          

The probability distribution of a random variable provides a probability for each possible value and the probabilities must sum to 1. 


Related Discussions:- How is probability distribution of random variable construct

Solution by factorization, Solution by Factorization, please solve quadrati...

Solution by Factorization, please solve quadratic equations by Factorization.

Find out ratio, the sides of a right angle triangle are a,a+d,a+2d with a a...

the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d  a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying

Evaluate the area of the shaded region, Using the example provided, Evaluat...

Using the example provided, Evaluate the area of the shaded region in terms of π. a. 264 - 18π b. 264 - 36π c. 264 - 12π d. 18π- 264 b. The area of the shaded r

Find the sum of given equation upto n limit, Find the sum of (1 - 1/n ) + (...

Find the sum of (1 - 1/n ) + (1 - 2/n ) + (1 - 3/n ) ....... upto n terms. Ans: (1 - 1/n ) + (1 - 2/n ) - upto n terms   ⇒[1+1+.......+n terms] - [ 1/n + 2/n +....+

Probability, I don''t understand the AND/OR rules and how they apply to pro...

I don''t understand the AND/OR rules and how they apply to probability

Algebra, Multiple response question.Zack puts a mug of water ni his microwa...

Multiple response question.Zack puts a mug of water ni his microwave oven. He knows that the final temperature of the water will be a function of the number of seconds he heats the

Methods of set representation, I have an assignment of set theory, please E...

I have an assignment of set theory, please Explain Methods of set representation.

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