What type of probability distribution will most likely be used to analyse warranty repair needs on new cars in the following problem? The service manager for a new automobile dealership reviewed dealership records of the past 20 sales of new cars to determine the number of warranty repairs he will be called on to perform in the next 90 days.Corporate reports indicate that the probability any one of their new cars needs a warranty repair in the first 90 days is 0.05.The manager assumes that calls for warranty repair are independent of one another and is interested in predicting the number of warranty repairs he will be called on to perform in the next 90 days for this batch of 20 new cars sold.
A) Binomial distribution.
B) Poisson distribution.
C) Hypergeometric distribution.
D) None of the above.

Question

Quizplus · Accepted Answer

The problem involves a fixed number of trials (20 new cars sold), each trial can result in one of two outcomes (warranty repair needed or not), the probability of success (i.e., a warranty repair being needed) is constant at 0.05, and the trials are assumed to be independent. These are the characteristics of a binomial distribution, making it the most appropriate choice for analyzing the warranty repair needs on new cars in this problem.

What Type of Probability Distribution Will Most Likely Be Used