Suppose the probability of a power outage at a nuclear power plant on a single day is the same every day of the year.Also the probability of having a power outage on a single day does not increase or decrease the probability of a power outage on another day.Which of the following distributions would you use to determine the probability that a power outage will occur next Monday?
A) Binomial distribution.
B) Poisson distribution.
C) Hypergeometric distribution.
D) None of the above.

Question

Quizplus · Accepted Answer

The Poisson distribution is appropriate when the probability of success is the same for each interval or unit of time, and events occur independently of each other. In this case, the probability of a power outage is the same every day, and events occurring on one day do not affect the probability of an outage on another day. Therefore, the Poisson distribution is the best choice to determine the probability of a power outage on a single day, including next Monday. The binomial distribution assumes a fixed number of trials or attempts, which does not apply in this scenario, and the hypergeometric distribution assumes sampling without replacement, which does not apply here either.

Suppose the Probability of a Power Outage at a Nuclear