Each trial has only two possible outcomes — success or failure.
The probability of success p is the same in every trial. The probability of failure q is 1-p.
The random variable X is the number of successes in n trials.
Let's consider the given experiment to determine whether it is a binomial experiment or can be reduced to a binomial experiment.
A survey found that on a scale of 1 to 5, a sandwich received a 3.5 rating. A restaurant manager asks 150 customers to rate the sandwich on a scale of 1 to 5.
Because the manager asks 150 customers, there is a fixed number of independent trials. However, each customer answers with a number from 1 to 5 and this cannot be classified as a success or failure. Therefore, our experiment is neither a binomial experiment nor can be reduced to a binomial experiment because the second condition cannot be satisfied.
