Question 1) Archaeologists have excavated 100 archaeological sites (N=100) within a particular region of the American Southwest. Artifacts recovered from only 15 of these sites (N_x=15) include preserved organic artifacts (including fragments of clothes, remains of plants and animals used for food, wooden tools, and so on). As a part of a dissertation research project, a graduate student in archaeology has randomly selected 20 (n=20) out of these 100 sites, without replacement. 5 of these 20 sites include organic artifacts (k=5). To calculate the probability that the student would randomly select k=5 sites with organic artifacts given the above information, the student should use the ___ probability model.

A. binomial



B.Poisson



C.hypergeometric



D.negative binomial

E.discrete uniform



F.geometric

Question2. A kitchen appliance manufacturer that makes blenders claims that only 1 out of every 1000 blenders fail to function immediately following assembly (a probability of 0.001 for a single trial). However, an independent auditor tests only three (n=3) blenders before encountering their first nonfunctional blender (k=1). To calculate the probability that n=3 given a probability of a "success" on a single trial of 0.001 and k=1, the independent auditor should use the _ probability model. (Note: there are two good answers for this question, but one is simpler to use than the other, so you should pick the simpler of the two.)

A discrete uniform



B binomial



C Poisson



Dnegative binomial



E geometric



F hypergeometric

Question 3

The same auditor from the previous question encounters a second nonfunctional blender (k=2) on the 100th tested unit (n=100). To calculate the probability that n=100 given k=2 and a probability of "success" of 0.001 on a single trial, the independent auditor should use the ___ probability model.

A.hypergeometric



B.Poisson

C.discrete uniform

D.binomial

E.negative binomial

F.geometric

Question4.

In 1981, the British Broadcasting Corporation (BBC) interviewed the well-known theoretical physicist Richard Feynman about his life and career. During this interview he offered the following reflections about his relationship with uncertainty: "I have different degrees of certainty about different things, but I'm not absolutely sure about anything and then many things I don't know anything about." Our ability to assign different degrees of certainty to different beliefs is an example of which of the following concepts in statistics?

A.independent random phenomena

   B.sampling distributions

   C.unfair dice

D.expected values

E.the law of averages

   F.personal probabilities

Question 5

Which of the following statements are true of the Law of Large Numbers (LLN)? Select all that apply.

  A.Sample averages will converge toward their population averages as sample size increases.

B.We can calculate an expected value by simulation because of the LLN.

C.Sample averages will stabilize as sample size increases.

D.In a fair game, observing multiple consecutive successes means that future outcomes must make up for this imbalance by increasing the probability of a failure.

   E.Sample sums will stabilize as sample size increases.

Question 6

Sampling distributions are probability models for outcomes of individual observations in a sample. True or False?

pur-new-sol

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