Poisson counts and approximation

STA 112. Practice questions, not past papers.

Lessons

• Model events over an interval
• Check sums and moments

Practice questions

1. A Poisson distribution has which relation between mean and variance?

   Statistics study edition practice item Q147; Source: T85-86, S31, S35-37

2. The support of a Poisson count is what?

   Statistics study edition practice item Q148; Source: T85-86, S31, S35-37

3. Which binomial setting is most suitable for a Poisson approximation?

   Statistics study edition practice item Q149; Source: T85-86, S31, S35-37

4. Under a constant-rate Poisson process, doubling exposure does what to λ?

   Statistics study edition practice item Q150; Source: T85-86, S31, S35-37

5. X~Poisson(2). Find P(X=0). Give the value to 4 decimal places.

   Statistics study edition practice item Q151; Source: T85-86, S35-37

6. X~Poisson(3). Find P(X=2). Give the value to 4 decimal places.

   Statistics study edition practice item Q152; Source: T85-86, S35-37

7. X~Poisson(1.6). Find P(X=3). Give the value to 4 decimal places.

   Statistics study edition practice item Q153; Source: T85-86, S35-37

8. X~Poisson(7.5). Find P(X=6). Give the value to 4 decimal places.

   Statistics study edition practice item Q154; Source: T85-86, S35-37

9. X~Poisson(7.5). Find P(X≤8), using the at-most wording in the source question. Give the value to 4 decimal places.

   Statistics study edition practice item Q155; Source: T85-86

10. For a Poisson variable, both mean and variance equal _____.

    Statistics study edition practice item F048; Source: T85-86, S31, S35-37

Topic gap report