The geometric distribution Quiz

Name: ______________________   Date: __________   Score: ____ / 10

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

1. 1

   Find the probability of success 0.2, P(first success on try 3).
   1. A) 128
   2. B) 0.1024
   3. C) 0.1280
   4. D) 0.2

2. 2

   Find the probability of success 0.4, P(first success on try 2).

   Answer: ____________________

3. 3

   Flip a coin until heads, P(first heads on flip 3)
   1. A) 0.0625
   2. B) P(X = 3) ≈ 0.0125
   3. C) P(X = 3) ≈ 0.1250
   4. D) P(X = 3) ≈ 1.25

4. 4

   Find the probability of success 0.25, expected number of tries.

   Answer: ____________________

5. 5

   Roll a die until a 6, P(first 6 on roll 4)
   1. A) P(X = 4) ≈ 0.0965
   2. B) P(X = 4) ≈ 0.00965
   3. C) 0.0804
   4. D) P(X = 4) ≈ 0.965

6. 6

   Find the probability of success 0.6, P(first success on try 3).

   Answer: ____________________

7. 7

   Find the probability of success 0.5, P(first success within 4 tries).
   1. A) 0.5
   2. B) 9.375
   3. C) 0.0625
   4. D) 0.9375

8. 8

   Find the probability of success 0.2, expected number of tries.

   Answer: ____________________

9. 9

   Roll a die until a 6, P(first 6 within 3 rolls)
   1. A) P(X ≤ 3) ≈ 4.213
   2. B) P(X ≤ 3) ≈ 0.04213
   3. C) 0.0046
   4. D) P(X ≤ 3) ≈ 0.4213

10. 10

    Find the probability of success 0.05, expected number of tries.

    Answer: ____________________