What Type of Probability Distribution Will Most Likely Be Used

question 68

Multiple Choice

What type of probability distribution will most likely be used to analyze 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) all of the above
• D) none of the above

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Definitions:

Nominal Variables

Variables that represent categories without any inherent order or ranking among them.

Interaction Term

A variable in statistical models that captures the effect of two or more variables simultaneously affecting a response variable.

Significance Level

The probability of inappropriately disapproving the null hypothesis in a study of statistics, generally labelled as alpha.

Linearly Related

Shows a direct correlation between two variables in which the rate of increase or decrease in one variable is consistent with the rate in the other variable.