Compute Probabilities of a Poisson Random Variable

question 98

Multiple Choice

Compute Probabilities of a Poisson Random Variable
-A history professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 a.m. time slot exactly five students will arrive.

• A) 0.1008
• B) 0.0137
• C) 0.0519
• D) 0.0070

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Definitions:

Reactive

Responding to events or stimuli rather than initiating or influencing them; often characterized by a lack of planning.

Holistic

Pertaining to an approach that considers all aspects of a situation, including physical, mental, and social factors, rather than focusing on individual parts.

Hindsight Bias

The tendency to believe, after an event has occurred, that one would have predicted or expected the outcome, often referred to as the "I-knew-it-all-along" effect.

Useful Product

An item or service that fulfills a need, serves a purpose, or provides value to its users.