What type of probability distribution will most likely be used to analyse 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 eight new cars it just received that,when each is tested,no more than two 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 Hypergeometric distribution is best used in this scenario since we are selecting a sample of 8 from a population of 48 without replacement. The probability of selecting a car with a defective radio changes as we select cars. The Binomial distribution assumes independent trials, which is not the case here since the probability of selecting a car with a defective radio changes as we select cars without replacement. The Poisson distribution is used for rare events occurring in a specific time frame, which is not applicable in this scenario.

What Type of Probability Distribution Will Most Likely Be Used