Identify Each of the Variables in the Binomial Probability Formula$$P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$$

Question

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The Answer is n is the fixed number of trials, x is the number of successes, p is the probability of success in one of the n trials, and q is the probability of failure in one of the n trials.
The fraction determines the number of different orders of x successes out of n trials.

Identify Each of the Variables in the Binomial Probability Formula $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$

Definitions:

Identify Each of the Variables in the Binomial Probability Formula P(x)=n!(n−x)!x!⋅px⋅qn−xP ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }P(x)=(n−x)!x!n!​⋅px⋅qn−x

Definitions:

Identify Each of the Variables in the Binomial Probability Formula $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$