List of Probability Distributions

In hypothesis of probability and figures there are two situations are likely to occur, they are when the variable is discrete and extra one is continuous. A list of probability distribution identifies a few of the list of probability distribution of a random uneven value when the variable is discrete. When the arbitrary variable takes the values in the set of genuine numbers, the list of probability distribution is totally described by the increasing distribution function, whose price at each real x is the chance that the random variable is smaller than or equal to x.

Properties of List of Probability Distributions:

Lists of Probability Distributions:

Two lists of Probability distributions are,

Continues probability Distributions

Discrete probability Distributions

1. Continues probability Distributions:

The Continues probability Distribution function define as function f(x) is satisfies some properties.

Those properties are,

Probability function of x among the two points a and b

` P(a<=x<=b) =int_a^bf(x)dx`

Continues probability distribution function is non-negative value of all x.

The integral of probability distribution function is

` int_oo^oof(x)dx = 1`

2. Discrete Probability Distributions:

The Discrete Probability Distribution function defined as f(x) is satisfies some properties.

Those properties are,

Probability of x can be taken the specific value of p(x).

`P[X=x] = P(x) = Px`

Probability density function is forever non-negative value of all real value of x.

Sum of the P(x) for all the probable value of x is 1.

` sum(i) pi= 1`

When i refer the all possible value of x. `pi` is probability distribution function of xi. The period of probability distribution function `0<= Pi<=1.`

My forthcoming post is on Binomial Experiment, and find the prime factorization of each number will give you more understanding about Algebra.

Features of Lists of Probability Distributions:

Random Variable can be in use interval from ` -oo` to `oo`

Probability distribution functions are symmetric in character. `P(-x)=P(x)`

Special shape normal distributions are λ=0 ,σ =1.It is call standard normal distributions.

Example Problem - List of Probability Distributions:

For solving probability distribution:

Find the probability distribution for the following set of data

Solution:

The formula used for Probability distribution function is

= `sumx p(x)`

= 1(0.03) + 2(0.06) +3(0.13) +4(0.16) + 5(0.18)

= 0.03 + 0.12 + 0.39+ 0.64 + 0.9

= 2.08

The probability distribution for the given set of data is 2.08.

My previous blog post was on Anova please express your views on the post by commenting.

Exercises Problems for list of Probability Distribution:

Problem 1 for solving probability distribution :

Find the probability distribution for the following set of data.