Probability distribution for continuous random variables, Mathematics

Probability Distribution for Continuous Random Variables

In a continuous distribution, the variable can take any value within a specified range, e.g. 2.21 or 1.64 compared to the specific values taken by a discrete variable e.g 1 or 3. The probability is represented by the area under the probability density curve between the given values.

The uniform distribution, the normal probability distribution and the exponential distribution are examples of a continuous distribution

-           The normal distribution is a probability distribution which is used to determine probabilities of continuous variables

Examples of continuous variables are

  • Times
  • Capacity Heights
  • Weights
  • Distances
  • e.t.c

- Generally continuous variables are those that can be measured by utilizing the suitable units of measurement.

- specified are the properties of the general distribution

1. The sum of area under the curve is = 1 which is equivalent to the maximum value of probability

701_Probability Distribution for Continuous Random Variables.png

2. The line of symmetry divides curve into two equal halves

3. The two ends of the general distribution curve continuously approach the horizontal axis however they never cross it

4. The values of the mean, mode and median all each are equal

NB: The above distribution curve is referred to as general probability distribution curve since if a frequency distribution curve is plotted from measurements of a specified sample drawn from a general population then a graph similar to the normal curve must be acquired.

- It should be noted that 68 percent of any population lies in one standard deviation, ±1σ

- 95 percent lies in two standard deviations ±2σ

- 99 percent lies in three standard deviations ±3σ

Whereas σ = standard deviation

182_Probability Distribution for Continuous Random Variables 2.png

Posted Date: 2/20/2013 6:35:30 AM | Location : United States







Related Discussions:- Probability distribution for continuous random variables, Assignment Help, Ask Question on Probability distribution for continuous random variables, Get Answer, Expert's Help, Probability distribution for continuous random variables Discussions

Write discussion on Probability distribution for continuous random variables
Your posts are moderated
Related Questions
Explain some examples of Elimination technique of Linear Equations.

Which expression below is equal to 5? The correct order of operations must be used here. PEMDAS tells you in which you should do the operations in the subsequent order: Pare


what is the difference between North America''s part of the total population and Africa''s part

what does algorithm refer to

Proof of Limit Comparison Test As 0  Now, as   we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer

The owner of TMH Hospital wants to open a new facility in a certain area. He usually builds 25-, 50-, or 100-bed facilities, depending on whether anticipated demand is low, medium

If 3200 sweets cost 30 US Dollars how much will 13,500 sweets cost ?

Prove that the area of a rhombus on the hypotenuse of a right-angled triangle, with one of the angles as 60o, is equal to the sum of the areas of rhombuses with one of their angles

how to remove wild points in a data set...