The Poisson distribution Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/university-statistics/the-poisson-distribution/quiz/

1. 1

   Poisson mean 2, P(X = 3)
   1. A) 6
   2. B) 2
   3. C) 0.1804
   4. D) 1

2. 2

   Poisson mean 1, P(X = 0)

   Answer: ____________________

3. 3

   Poisson mean 2, P(X = 0)
   1. A) 0.1353
   2. B) 1.353
   3. C) 2
   4. D) 1

4. 4

   Solve P(X = 1), Poisson mean 3

   Answer: ____________________

5. 5

   A road has an average of 3 accidents a week, probability of exactly 1 accident in a week
   1. A) 3
   2. B) 0.1494
   3. C) 1
   4. D) 1.494

6. 6

   Poisson mean 3, P(X <= 2)

   Answer: ____________________

7. 7

   Poisson mean 2, P(X >= 1)
   1. A) P(X ≥ 1) ≈ 1
   2. B) P(X ≥ 1) ≈ 0.8647
   3. C) P(X ≥ 1) ≈ 2
   4. D) P(X ≥ 1) ≈ 8.647

8. 8

   A shop gets an average of 6 calls an hour, probability of exactly 2 calls in 30 minutes

   Answer: ____________________

9. 9

   A help desk gets an average of 12 emails a day, probability of at least 1 email in 2 hours
   1. A) P(X ≥ 1) ≈ 0.6321
   2. B) P(X ≥ 1) ≈ 1
   3. C) P(X ≥ 1) ≈ 6.321
   4. D) 0.0001

10. 10

    Poisson mean 2.5, P(X <= 2)

    Answer: ____________________