PMF Poisson Distribution 3

Question 1

Which real-world scenario is best modeled by a Poisson PMF?

Accepted Answer

Number of typos per page in a manuscript

Answer

Height of students in a class

Answer

Outcome of a single coin flip

Answer

Score on a standardized test

Question 2

If the Poisson parameter λ increases, how does the shape of the PMF change?

Accepted Answer

It shifts right and becomes more symmetric

Answer

It becomes more skewed to the right

Answer

It becomes more concentrated at zero

Answer

It becomes uniform

Question 3

What is the mode of a Poisson distribution when λ = 5.5?

Accepted Answer

Both 5 and 6

Answer

5

Answer

6

Answer

5.5

Question 4

For a Poisson PMF with λ = 1, which value of k gives the highest probability?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 5

How does the standard deviation of a Poisson(λ=9) compare to its mean?

Accepted Answer

The standard deviation (3) equals the square root of the mean (9)

Answer

The standard deviation equals the mean

Answer

The standard deviation is twice the mean

Answer

The standard deviation is half the mean

Question 6

A store averages 3 customer complaints per day. Using the Poisson PMF, what is P(X=3)?

Accepted Answer

(e^-3 × 27) / 6 ≈ 0.224

Answer

(e^-3 × 9) / 2 ≈ 0.224

Answer

e^-3 ≈ 0.050

Answer

3 × e^-3 ≈ 0.149