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The classic one is the coin toss problem. How many head and how many tails on a certain number of tosses.
For example we toss a coin 4 times and call a success the result of the coin landing with the head showing. The binomial variable is the number of heads n the four coin tosses, which can take on the values 0, 1, 2, 3, or 4. The probabilities of the possible outcome can be calculated using the binomial theorem.
Here they are:
P(X = 0) = 1/16
P(X = 1) = 1/4
P(X = 2) = 3/8
P(X = 3) = 1/4
P(X = 4) = 1/16
P = 0.5n (n!/(n-x)!x! )
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What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
According to the Remainder theorem the remainder of the problem in which a polynomial F x is divided by the binomial x - a equals?
F(a)
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What is the relationship between probability and the binomial theorem?
What is the symbol for a Probability of success in a binomial trial?
Who invented binomial theorem?
AnswerThe binomial theorem has been known for thousands of years. It may have first been discovered in India around 500 BC.
