Provide an appropriate response.
-Which of the random variables described below is likely to have a Poisson distribution? - The random variable X is the number of accidents occurring during a ski season at a particular
Ski resort.-Fifty people are selected at random from among the skiers at a particular resort. The random Variable Y is the number among the fifty who have been involved in a ski accident during the past Ski season. -One ski resort allows both skiers and snowboarders. Fifty people are selected at random from the People waiting in line at one of the resort's chairlifts. The random variable Z is the number of Snowboarders among the fifty.
A)X, Y, and Z
B)Y and Z
C)X only
D)X and Y

Question

Provide an appropriate response.
-Which of the random variables described below is likely to have a Poisson distribution? - The random variable X is the number of accidents occurring during a ski season at a particular
Ski resort.-Fifty people are selected at random from among the skiers at a particular resort. The random Variable Y is the number among the fifty who have been involved in a ski accident during the past Ski season. -One ski resort allows both skiers and snowboarders. Fifty people are selected at random from the People waiting in line at one of the resort's chairlifts. The random variable Z is the number of Snowboarders among the fifty. 
A)X, Y, and Z
B)Y and Z
C)X only
D)X and Y

Quizplus · Accepted Answer

The Poisson distribution is typically used to model the number of times an event happens in a fixed interval of time or space under certain conditions, such as the number of accidents occurring during a ski season at a particular resort (X). Y and Z are not Poisson distributions because they involve selecting a fixed number of individuals and counting occurrences among them, which is more suited to binomial distribution scenarios.

Provide an Appropriate Response