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

Easy math margin percentage increase, If A = 100 and B = 44 then A1 =...

If A = 100 and B = 44 then A1 = 120 and B2 = 52.80 A is MAP and B is Tier 6. I need help to find a simple equation that I just cannot find. I just need the percentage

Word problems, Ana has hiked 4 1/2 miles. She is 2/3 of the way along the t...

Ana has hiked 4 1/2 miles. She is 2/3 of the way along the trail. How long is the trail?

Linear function, find the temperature at which the celsius and farhenheit t...

find the temperature at which the celsius and farhenheit temperatures are numerically equl

Which of the following could be the dimensions the courty x, Katie's school...

Katie's school has a rectangular courtyard whose area can be expressed as 3x 2 - 7x + 2. Which of the following could be the dimensions of the courtyard in terms of x? Since t

Prove that a tree with n vertices has n - 1 edges, Prove that A tree with n...

Prove that A tree with n vertices has (n - 1) edges.    Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should

Distribution of sample means not normal, The distribution of sample means i...

The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?

The low temperature in Achorage, The low temperature in Anchorage, Alaska t...

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two

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