MATH 3410 - Exam 2 - Poisson-HyperGeometric-NegativeBinomial

1. 1In a shipment of 50 parts, the company accidentally included 7 defective parts. If an inspector randomly samples five parts in this shipment what are the odds that the inspector finds at most one defective part?

   1. A86.2%
   2. B98.4%
   3. C12.2%
   4. D37.8%
2. 2In a small company of 30 individuals 6 have a virus that can by transmitted to individuals in close proximity. If 4 of these individuals are randomly sampled to help with a project what is the probability that exactly 2 of the individuals on the project have the virus?

   1. A98%
   2. B15%
   3. C83%
3. 3In science reproducibility is becoming more of an issue and because of this the experiment must be produced exactly three times before it can be reported. Suppose that the probability of reproducing an experiment is 85%. What is the probability that the experiment is run five times until it is reproduced three times?

   1. A85%
   2. B92%
   3. C8%
4. 4In science reproducibility is becoming more of an issue and because of this the experiment must be produced exactly three times before it can be reported. Suppose that the probability of reproducing an experiment is 85%. How many experiments should the lab expect to run?

   1. A3.52
   2. B3
   3. C4
5. 5A parking enforcement officer has a quota of 10 citations to issue by the end of the shift. Assume that the probability that any given car has a violation is 6%. What is the probability that the officer has to check exactly 15 cars?

   1. A0.00000009%
   2. B88%
   3. C6%
6. 6In a certain geographic location tornados occur on average twice every nine months. What are the odds that exactly three tornados occur in a nine month period?

   1. A18%
   2. B67%
   3. C82%
7. 7In a certain geographic location tornados occur on average twice every nine months. What are the odds that exactly two tornados occur in a six month period?

   1. A78%
   2. B22%
   3. C99%
8. 8Consider the moment generating function given by:
   
   Mx (t) = e^2(e^t - 1)

   1. A2
   2. B0
   3. C1/2
9. 9Suppose a fast food restaurant can expect two customers every 3 minutes, on average. What is the probability that four or fewer patrons will enter the restaurant in a 9 minute period?

   1. A32%
   2. B28%
   3. C72%
10. 10A specific location has a 10% chance of rain on any given day. What is the probability that it will take exactly a week (7 days) for it two rain on two separate days?

    1. A3.5%
    2. B96.5%
    3. C5.5%

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College MATH 3410 Test sobre MATH 3410 - Exam 2 - Poisson-HyperGeometric-NegativeBinomial, creado por Zachary Ricky el 10/03/2022.

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