What is the symbol for a Probability of success in a binomial trial?
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The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
I expect you mean the probability mass function (pmf). Please see the right sidebar in the linked page.
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
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).