BINOMIAL LAW Meaning and
Definition
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Binomial law refers to a mathematical formula that describes the probability of obtaining a specific number of successes in a fixed number of independent Bernoulli trials or experiments. It is also known as the binomial distribution or binomial theorem. The term "binomial" refers to the fact that the formula involves binomial coefficients, which are coefficients in a binomial expansion.
The binomial law is derived from the multiplication rule of probability theory. It states that if there are only two possible outcomes, often referred to as success and failure, in each trial or experiment, and the probability of success remains constant throughout the trials, then the probability of obtaining a specific number of successes can be calculated using the binomial formula.
The formula is written as P(x) = nCx * p^x * q^(n-x), where P(x) represents the probability of getting x successes out of n trials, nCx represents the binomial coefficient, p represents the probability of success in a single trial, q represents the probability of failure in a single trial (1-p), and x represents the desired number of successes.
The binomial law has numerous applications in a wide range of fields including statistics, probability theory, genetics, physics, and economics. It allows researchers and analysts to predict the likelihood of certain events occurring based on known probabilities and the number of trials or experiments performed. By understanding and utilizing the binomial law, individuals can make informed decisions and draw meaningful conclusions from data collected through repeated experiments or observations.
Common Misspellings for BINOMIAL LAW
- vinomial law
- ninomial law
- hinomial law
- ginomial law
- bunomial law
- bjnomial law
- bknomial law
- bonomial law
- b9nomial law
- b8nomial law
- bibomial law
- bimomial law
- bijomial law
- bihomial law
- binimial law
- binkmial law
- binlmial law
- binpmial law
- bin0mial law
- bin9mial law
Etymology of BINOMIAL LAW
The term "binomial law" comes from the combination of two words: "binomial" and "law".
The word "binomial" is derived from the Latin word "binomius", which is a combination of "bi-" (meaning two) and "-nomius" (from "nomia" meaning distribution). In mathematics, the term "binomial" refers to a polynomial that consists of two terms, such as (a + b).
The word "law" is derived from the Old English word "lagu" and the Old Norse word "lag", both meaning "something laid down" or "something fixed". In general, a "law" refers to a principle or rule established to govern or describe a specific phenomenon.
Therefore, the term "binomial law" refers to a mathematical principle or rule related to binomials, which is expressed through the binomial theorem or binomial distribution.
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