Relative frequency definition, Mathematics

Assignment Help:

Relative Frequency 

This type of probability requires us to make some qualifications. We define probability of event A, occurring as the proportion of times A occurs, if we repeat the experiment several times under the same or similar conditions.

 

Example 

Consider the following distribution of salaries in a finance company for February, 2002.

Salaries (Rs.)

Frequency

Relative Frequency (%)


  2,000 -   5,000

 2

4%

  5,000 -   8,000

11

22%

  8,000 - 11,000

18

36%

11,000 - 14,000

10

20%

14,000 - 17,000

 7

14%

17,000 - 20,000

 2

4%

 

50

100%

For a subsequent month the salaries are likely to have the same distributions unless employees leave or have their salaries raised, or new people join. Hence we have the following probabilities obtained from the above relative frequencies.

Salaries (Rs.)

Probability

  2,000 -   5,000

4%

  5,000 -   8,000

22%

  8,000 - 11,000

36%

11,000 - 14,000

20%

14,000 - 17,000

14%

17,000 - 20,000

4%

 

100%

These probabilities give the chance that an employee chosen at random will be in a particular salary class. For example, the probability of an employee's salary being Rs.5,000 - Rs.8,000 is 22%.


Related Discussions:- Relative frequency definition

Estimate the grade resistance, The grade resistance is F=W sin θ, where θ i...

The grade resistance is F=W sin θ, where θ is the grade and W is the weight of the automobile.  What is the grade resistance of a 2500 pound car traveling on a 2.6 degree uphill gr

Example of problems related to applying operations, I had just come back fr...

I had just come back from a very interesting talk arranged by a Mathematics Centre, it was aimed at parents of primary school-going children. They had talked about, and demonstrate

Functions of limits, Following is some more common functions that are "nice...

Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid

Maths, f all the permutations of the letters of the word chalk are written ...

f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?

Estimation of population proportions, Estimation of population proportions ...

Estimation of population proportions This form of estimation applies at the times while information cannot be described as a mean or as a measure but only as a percentage or fr

Math, what is division

what is division

Example of 3-d coordinate system, Example of 3-D Coordinate System Exam...

Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 .   Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co

Analytical geometry, convert the equation 4x^2+4y^2-4x-12y+1=0 to standard ...

convert the equation 4x^2+4y^2-4x-12y+1=0 to standard form and determine the center and radius of the circle. sketch the graph.

Stats Combination Questions, A car buyer has a choice of three makes, five ...

A car buyer has a choice of three makes, five body styles, and six colors. How many different choices does the buyer have?

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