Identify each of the variables in the Binomial Probability Formula.
$P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot ( 1 - p ) ^ { n - x }$ Also, explain what the fraction $\frac { n ! } { ( n - x ) ! x ! }$ computes.

Question

Identify each of the variables in the Binomial Probability Formula. 
$P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot ( 1 - p ) ^ { n - x }$ Also, explain what the fraction $\frac { n ! } { ( n - x ) ! x ! }$ computes.

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 (1 - p)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)=n!(n−x)!x!⋅px⋅(1−p)n−xP ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot ( 1 - p ) ^ { n - x }P(x)=(n−x)!x!n!​⋅px⋅(1−p)n−x

Identify Each of the Variables in the Binomial Probability Formula $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot ( 1 - p ) ^ { n - x }$