Exhibit 5-11
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 5-11. The random variable x satisfies which of the following 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 implies that the random variable x follows a Poisson distribution, where the mean and variance are equal to 5.3. The Poisson distribution is used to model the number of occurrences of rare events in a fixed interval of time or space.

Exhibit 5-11 the Random Variable X Is the Number of Occurrences of Occurrences