Exhibit 5-8
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.
-Refer to Exhibit 5-8. The random variable x satisfies which of the following Discrete Probability Distributions?
A)normal
B)Poisson
C)binomial
D)Not enough information is given to answer this question.

Question

Quizplus · Accepted Answer

The given information about x being the number of occurrences of an event over a fixed interval of time and the probability of occurrence being the same in any two-time periods of equal length suggests that x follows the Poisson distribution. Additionally, the mean of the number of occurrences is given, which is a characteristic of the Poisson distribution. Therefore, the best choice for the probability distribution of x is the Poisson distribution.

Exhibit 5-8 the Random Variable X Is the Number of Occurrences of Occurrences