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 appropriate probability distribution for the random variable is
A)discrete
B)continuous
C)either a or b depending on how the interval is defined
D)not enough information is given

Question

Quizplus · Accepted Answer

The fact that x represents the number of occurrences of an event, coupled with the fact that the probability of an occurrence is assumed to be the same in any two time periods of an equal length, indicates that x is a discrete random variable with a Poisson distribution.

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