Correct option is b. Procedure results in a binomial distribution.
Step-by-step explanation:
Consider that <em>X</em> is Binomial random variable. The properties that are satisfied by <em>X</em> are:
There are <em>n</em> independent trials.
Each trial has only two outcomes: Success & Failure.
Each trial has the same probability of success.
Suppose a roulette wheel is spun and the number of times the ball lands on '16' is observed.
If the random variable <em>X</em> is defined as the number of times the ball lands on '16', then the random variable <em>X</em> follows a Binomial distribution.
Because,
Each spin is independent of each other
Success: The ball lands on '16'
Failure: The ball does not lands on '16'
The probability of the ball landing on '16' is for each trial.
Thus, the correct option is b. Procedure results in a binomial distribution.