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Poisson Process

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1. Which distribution describes the number of events in a Poisson process over a fixed interval?

a: Binomial distribution Explanation

Explanation

b: Exponential distribution Explanation

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c: Poisson distribution Explanation

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d: Uniform distribution Explanation

Explanation

2. What is a key characteristic of a Poisson process?

a: Events occur at regular intervals Explanation

Explanation

b: Events occur independently over time Explanation

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c: Only one event can occur in total Explanation

Explanation

d: Events always follow a normal distribution Explanation

Explanation

3. What is the mean number of events in a Poisson distribution with rate λ over time t?

a: λ Explanation

Explanation

b: λ + t Explanation

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c: λ * t Explanation

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d: λ / t Explanation

Explanation

4. What distribution models the time between two consecutive events in a Poisson process?

a: Poisson distribution Explanation

Explanation

b: Exponential distribution Explanation

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c: Normal distribution Explanation

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d: Gamma distribution Explanation

Explanation

5. Which of the following is NOT an assumption of a Poisson process?

a: Events occur independently Explanation

Explanation

b: The rate λ is constant Explanation

Explanation

c: Events can occur simultaneously Explanation

Explanation

d: The number of events in non-overlapping intervals is independent Explanation

Explanation

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