Compute Probabilities of a Poisson Random Variable

question 7

Multiple Choice

Compute Probabilities of a Poisson Random Variable
-The number of goals scored at State College hockey games follows a Poisson distribution with a mean of 7 goals per game. Find the probability that a randomly selected State College hockey game would have more than three goals scored.

• A) 0.918235
• B) 0.081765
• C) 0.970364
• D) 0.029636

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Definitions:

Paradox of Choice

The phenomenon that having too many options can lead to feelings of dissatisfaction and difficulty in making a decision.

Representativeness Heuristic

A cognitive shortcut that involves judging the probability of an event based on how similar it is to the typical case.

Base Rates

The fundamental frequency at which an event occurs in a given population; essential for making accurate predictions or judgments.

Fluid Intelligence

The capacity to reason and solve new problems independently of previously acquired knowledge.