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

Theory of equations, If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(...

If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=

Sqrt n- sqrt 8836, How many integers satisfy (sqrt n- sqrt 8836)^2 Solutio...

How many integers satisfy (sqrt n- sqrt 8836)^2 Solution) sqrt 8836 = 94 , let sqrt n=x the equation becomes... (x-94)^2 (x-94)^2 - 1 (x-95)(x-93) hence  93 8649  the number o

Find a longest common substring - suffix trees, 1. Using suffix trees, give...

1. Using suffix trees, give an algorithm to find a longest common substring shared among three input strings: s 1 of length n 1 , s 2 of length n 2 and s 3 of length n 3 .

Determinants, can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l ...

can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l

What is equivalence relation, What is equivalence relation?  Prove that rel...

What is equivalence relation?  Prove that relation  'congruence modulo' (  ≡mod m) is an equivalence relation.  Ans: A relation R illustrated on a nonempty set A is said to be

Indeterminate forms, Indeterminate forms Limits we specified methods fo...

Indeterminate forms Limits we specified methods for dealing with the following limits. In the first limit if we plugged in x = 4 we would get 0/0 & in the second limit

Assignment, Is there any assignment work available for mathematics?

Is there any assignment work available for mathematics?

Geometry homework, i just have one question i need help on for my geometry ...

i just have one question i need help on for my geometry homework

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