What type of probability distribution will most likely be used to analyze the number of cars with defective radios in the following problem? From an inventory of 48 new cars being shipped to local dealerships,corporate reports indicate that 12 have defective radios installed.The sales manager of one dealership wants to predict the probability out of the 8 new cars it just received that,when each is tested,no more than 2 of the cars have defective radios.
A)binomial distribution.
B)Poisson distribution.
C)hypergeometric distribution.
D)none of the above.

Question

Quizplus · Accepted Answer

The problem involves randomly selecting a sample of 8 cars from a population of 48, which makes the situation best suited for a hypergeometric distribution. This distribution is used for situations where the sample size is small and the population size is limited, and the number of successes and failures in the sample is of interest. The binomial distribution would be appropriate if we were randomly selecting individual cars from the population and checking for defective radios, but not when selecting a sample without replacement. The Poisson distribution is used for counting the occurrence of rare events over a continuous time period, and is not applicable in this situation.

What Type of Probability Distribution Will Most Likely Be Used