Grade 12 Poisson Distribution Quiz

What is the probability distribution used to model the number of events occurring in a fixed interval of time or space?

• Poisson distribution

• Exponential distribution

• Binomial distribution

• Normal distribution

In a Poisson distribution, what does the mean represent?

• Average number of events

• Minimum number of events

• Maximum number of events

• Total number of events

What is the variance of a Poisson distribution?

• Standard Deviation

• Mean

• Mode

• Median

Give an example of a real-life application where Poisson distribution can be used to model the number of occurrences of a certain event.

• Amount of rainfall in a specific area

• Temperature fluctuations throughout the day

• Customer arrivals at a service center

• Number of goals scored in a soccer match

What is the probability of exactly 3 events occurring in a Poisson distribution with a mean of 5?

• 0.000000001

• 5.67891234

• 0.567891234

• 0.140373895

How do you calculate the probability of a specific number of events occurring in a Po(λ)?

• P(X = k) = (e^-λ * λ^k) / k!

• P(X = k) = (e^-λ * λ^k) / (k+1)!

• P(X = k) = (e^-λ * λ^k) / (k^2)!

• P(X = k) = (e^-λ * λ^k) / (k-1)!

Give an example of a real-life application where Poisson distribution can be used to model the number of occurrences of a certain event.

• Number of phone calls at a call center

• Number of cars in a parking lot

• Number of students in a classroom

• Number of pages in a book

A machine produces on average 2 defective parts per hour. What is the probability that it will produce exactly 1 defective part in the next hour?

• 0.750

• 0.100

• 0.2706705664732254

• 0.500

In a Poisson distribution with a mean of 4, what is the probability of getting 0 occurrences?

• e^(-4)

• e^(4)

• 4^(-e)

• 1/e^4

What are the 2 conditions for normal approximation to B(n,p)?

• n is big enough

• n is small enough

• p is not too big or small

  (around 0.5)

• p is big enough

• p is small enough