Students Arrive at a Health Center, According to a Poisson

question 107

Short Answer

Students arrive at a health center, according to a Poisson distribution, at a rate of 4 every 15 minutes. Let x represent number of students arriving in a 15 minute time period.
What is the probability that no more than 3 students arrive in a 15 minute time period?
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What is the probability that exactly 5 students arrive in a 15 minute time period?
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What is the probability that more than 5 students arrive in a 15-minute time period?
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What is the probability that between 4 and 8 students, inclusively, arrive in a 15-minute time period?
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Definitions:

Homogenous

Having a uniform structure or composition throughout; similar in kind or nature.

Collectivistic

Characterizing cultures or societies that emphasize group goals and interdependence over individual pursuits and achievements.

Individualistic

Characterized by independence and self-reliance, prioritizing personal goals over group goals.

Stable

A term describing something that is unchanging, firmly established, or not prone to fluctuations.