Asked by Elijah Vogle on May 07, 2024
Verified
Which of the following cannot generate a Poisson distribution?
A) The number of telephone calls received by a switchboard in a specified time period.
B) The number of customers arriving at a gas station on Christmas day.
C) The number of bacteria found in a cubic yard of soil.
D) The number of children in a family.
E) The number of accidents per day on a certain section of a highway.
Poisson Distribution
A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space when these events occur with a known constant mean rate and independently of the time since the last event.
Number of Children
A count of offspring or children associated with a person, family, or population within a certain context.
- Understand and apply Poisson distribution and its properties.
Verified Answer
JH
Jaylyn HollandMay 13, 2024
Final Answer :
D
Explanation :
The number of children in a family cannot generate a Poisson distribution as it cannot be counted as random events occurring in a specified time period, like the other options.
Learning Objectives
- Understand and apply Poisson distribution and its properties.