Provide an appropriate response.
-Identify each of the variables in the Binomial Probability Formula. $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$
Also, explain what the fraction $\frac { n ! } { ( n - x ) ! x ! }$ computes.

Question

Quizplus · Accepted Answer

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.

Provide an Appropriate Response 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

Provide an Appropriate Response $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$