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

Shares and dividend, want to make an assignment on shares and dividend for ...

want to make an assignment on shares and dividend for class 10

Pi, is that rational or irrational number

is that rational or irrational number

Evaluate integrals, Evaluate following integrals.  (a) ∫ 3e x + 5 cos x...

Evaluate following integrals.  (a) ∫ 3e x + 5 cos x -10 sec 2   x dx  (b) ( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy Solution (a)    ∫ 3e x + 5 cos x -10 sec 2 x

Math, the size of my sitting room is 7metres by 6metres . i bought a rug fo...

the size of my sitting room is 7metres by 6metres . i bought a rug for covering the centre of its floor. one metre of the floor around the edge of the room is not to be covered by

Nonhomogeneous differential equations, Let's here start thinking regarding ...

Let's here start thinking regarding that how to solve nonhomogeneous differential equations.  A second order, linear non-homogeneous differential equation is as y′′ + p (t) y′ +

Objectives of why learn mathematics, Objectives After studying this uni...

Objectives After studying this unit, you should be able to explain how mathematics is useful in our daily lives; explain the way mathematical concepts grow; iden

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

Proof of alternating series test, Proof of Alternating Series Test With...

Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place

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