Wednesday, October 17, 2012

Probability Index Formula


Introduction to probability index formula:

Probability is defined as the chance of something going to happen in the future. It can be expressed as a number from zero (which means that will never happen) to 1 (which means that will happen certainly).

The maximum probability value will be one and the minimum probability formula value will be zero.

Example: There is a chance of only 67% that will rain tomorrow.

Probability index is defined as the sum of weighted values of five cranial and dental angles and appears to have important analytical value.

Probability Index Formula:

Formula for probability index can be shown as follows,

Probability index formula=  Odds given with an additional information x 100

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Odds without that information.

Probability index is used to understand about the two given things  for the index of increased odds.

The Format sharing probability Index (I) is one which is equal to the Percent of Format A’s spectators also listening to Format B (S/A) in excess of the percent of people in the marketplace paying attention to the Format B (B/T)

Where,

A = persons who are using Format A.

B = persons who are using Format B.

T = persons who are in the market.

S = persons who are listening to both Format A and Format B.

In order to create an index we need to have awareness on the quotes shown above

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Probability Index

We can estimate the weibull modulus using the probability index with the help of least square method.

Other formulae in probability are as follows

Complement Formula:

This following formula shows the formula for complementary events.

P (X) + P (X’) = 1

Addition formula:

The rule of addition narrates the probability of event X or Y happening with the probability of X , the probability of Y  and the probability of X and Y .

Mathematically it is written as follows,

P(X U Y) = P(X) + P(Y) – P(XY)

Where,

XY represents X and Y.

Mutually Exclusive Formula:

If X and Y are mutually exclusive then,

P(X.Y) = 0

P(X U Y) = P(X) + P(Y) .

Multiplication Rule:

The multiplication formulae for probability can be given as follows
P(X & Y) = P(Y) P(X/Y)

P(X & Y) = P(X) P(Y/X)

Formulas for Independent Events:

In case if X and Y being independent to each other,

P(X/Y) = P(AX P(Y/X) = P(B)

P(A & B) = P(A)P(B)

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