2. (TCO 5) A company produces electronic equipments claims that 98% of their products never need any kind of maintenance. We selected 10 of their products and we wanted to know the probability that 8 of them never need maintenance. Choose the best answer of the following: (Points : 6)
This is an example of a Poisson probability experiment
This is an example of a Binomial probability experiment
This is neither a Poisson nor a Binomial probability experiment
Not enough information to determine the type of experiment
Binomial probability.
To determine the type of probability experiment, we need to understand the characteristics of a Poisson experiment and a Binomial experiment.
A Poisson probability experiment is characterized by the following:
1. The number of events occurring in any interval is independent of the number of events occurring in any other non-overlapping interval.
2. The probability of an event occurring is the same for any two intervals of equal length.
3. The probability of more than one event occurring in an interval approaches 0 as the interval becomes smaller.
A Binomial probability experiment is characterized by the following:
1. The experiment consists of a fixed number of trials.
2. Each trial is independent of the other trials.
3. Each trial results in success or failure.
4. The probability of success is the same for each trial.
Based on the given information, we know that we selected 10 products and we want to know the probability that 8 of them never need maintenance. This indicates a fixed number of trials (10) and each trial can result in either success (never need maintenance) or failure (need maintenance). Therefore, this is an example of a Binomial probability experiment.
The best answer to choose from the given options is: This is an example of a Binomial probability experiment.