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
what is 8e^3x + 4 = 15

Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec

a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit

How to solve Two-Step Equations? Two-step equations involve two math operations - one operation is addition or subtraction. The second operation is multiplication or division.

Devise data that link a certain relationship OF YOUR CHOOSING between two variables. Write a rationale stating why you chose this particular data and what you are planning to STAT

descuss the seauencing problem for n jobs on two and three machines

Find the Quadratic polynomial whose sum and product of zeros are √2 + 1, 1/ √2 + 1 Ans:    sum = 2  √2 Product = 1 Q.P = X 2 - (sum) x + Product ∴ x 2 - (2 √2 )

If 28,000 = 85% and 28,000 / X = 100%. What the freak is X and how do you work it out.

A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.

a lending library has a fixed charge for the first three days and an additional charge for each day thereafter. sam paid Rs 27 for a bookkept for 7 days while jaan paid Rs 21 for t