Binomial
An algebraic expression with two terms
Binomial is a type of probability distribution in statistics that deals with two possible outcomes, commonly referred to as success or failure. It is used to model the number of successful outcomes in a fixed number of independent identical trials.
The binomial distribution has two parameters: n (the number of trials) and p (the probability of success). The probability of getting exactly k successful outcomes in n trials can be calculated using the binomial probability formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
– (n choose k) is the binomial coefficient which represents the number of ways to choose k successes from n trials.
– p is the probability of success.
– (1-p) is the probability of failure.
The mean or expected value of the binomial distribution is given by mu = n * p and the variance is given by sigma^2 = n * p * (1 – p).
The binomial distribution is widely used in many areas, such as finance, biology, physics, and engineering, to model binary events such as flipping a coin, passing or failing an exam, or winning or losing a game.
More Answers:
Coefficients In Algebra: Simplifying Expressions, Balancing Equations, And Determining CharacteristicsThe Degree Of A Polynomial: Definition And Examples.
Mastering Trinomials: Factoring And Graphing Polynomials In Algebra