determine if the following scenario is a binomial experiment. if it is not binomial, then select all of the…

determine if the following scenario is a binomial experiment. if it is not binomial, then select all of the reasons why. brand a has a history of recalling 27% of their products. an employee at walmart is going through a list of 54 recalls, and records the number of products being recalled by brand a. the variable is not discrete. there is not a fixed number of trials. there are more than two outcomes. the trials are not independent. the probability of success is not the same for each trial. all of the conditions for being a binomial experiment are met, i.e., this is a binomial experiment.
Answer
Brief Explanations:
A binomial experiment has fixed - number of independent trials, two possible outcomes, and a constant probability of success. Here, the number of trials is the 54 recalls (fixed), the two outcomes are a product being from Brand A or not, but the trials are not independent. If one product is from Brand A in the list of recalls, it affects the probability of the next product being from Brand A in the same list. Also, the probability of success (a product being from Brand A) is not the same for each trial as the pool of products in the list changes as we check each recall.
Answer:
The trials are not independent. The probability of success is not the same for each trial.