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
A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer



solve the following simultaneous equations x+y=a+b ; a/x_b/y

A non-empty set or group of which all the sets under concern are subsets is known as the universal set. In any part of application of set theory, all the sets under concern might l

I have a journal article in applied mathematics and want to analyze the solutions step by step. Is there anyone specialize in this file?

In a frequency distribution mode is 7.88, mean is 8.32 find the median.  (Ans: 8.17) Ans:  Mode = 3 median - 2 mean 7.88 = 3 median - 2 x 8.32 7.88 +16.64 = 3 median


Properties of t distribution 1. The t distribution ranges from - ∞ to ∞ first as does the general distribution 2. The t distribution as the standard general distribution is

find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month