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) Poisson distribution
B) binomial distribution
C) hypergeometric distribution
D) none of the above

Question

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) Poisson distribution
B) binomial distribution
C) hypergeometric distribution
D) none of the above

Quizplus · Accepted Answer

The hypergeometric distribution is appropriate here because the problem involves sampling without replacement from a finite population (48 cars) with a known number of successes (12 defective radios).

What Type of Probability Distribution Will Most Likely Be Used