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Exam-2-Universe-Q

# Exam-2-Universe-Q - BUS-271 Exam-2 Universe...

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1 BUS-271 Exam-2 Universe Questions 2011-09-15 [Edited 7/28/2010] 401. [Ch.4, 10 p.] (Definitions) a. [2 p.] Define what we mean by the “sample space” for a statistical experiment. b. [2 p.] What do we mean when we say that two statistical experiments are independent? c. [2 p.] If I flip a coin twice, are those two statistical experiments independent or not? d. [2 p.] If I draw cards from a normal deck and replace the card between draws, are these statistical experiments independent or not? e. [2 p.] If I draw balls from an urn without replacement, are these statistical experiments independent or not? 402. [Ch. 4; 12 points] (Definitions: Set theory) Given the following Venn diagram:

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2 (a) [2 p.] list the members of set A. (b) [2 p.] list the members of set B. (c) [2 p.] list the members of A B. (d) [2 p.] What is P(A) ? Assume Classical probability. (e) [2 p.] What is P(A B)? (f) [2 p.] What is P( (A B) C ) ?
3 403. [Chapter 4; 16 p.] (Definitions) a) [2 p.] What is a statistical experiment? b) [2 p. ] What is the “sample space” for a statistical experiment? c) [2 p. ] What do we mean by “independent” statistical experiments? d) [2 p.] Given an example of independent statistical experiments. e) [2 p.] Given an example of non-independent statistical experiments. f) [2 p.] For two sets A and B, define the Union AB g) [2 p.] For two sets A and B, define the Intersection h) [2 p.] For set S and a subset A, define the Complement c Aor A 404. [Ch. 4; 6 points] (Probability) We try to assess the possibilities for tomorrow's weather: tomorrow we will either have rain, snow, or sunshine. (a) [2 p.] Using the Classic method, what is P(rain tomorrow)? (b) [2 p.] You are told that over the last 20 years, on tomorrow's date we have had rain 7 times and snow once. Using the Relative Frequency method, what is P(sunshine tomorrow)? (c) [2 p.] Using the Subjective method, what is P(snow tomorrow)? Explain how you got your answer.

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4 405. [Ch. 4; 6 points] (Probability) We try to assess the possibilities for tomorrow's weather: tomorrow it will either rain or it will not. (a) [2 p.] Using the Classic method, what is P(rain tomorrow)? (b) [2 p.] You are told that over the last 20 years, on tomorrow's date we have had rain 7 times. Using the Relative Frequency method, what is P(rain tomorrow)? (c) [2 p.] Using the Subjective method, what is P(rain tomorrow)? Explain how you got your answer. 406. [Ch. 4; 6 points] (Probability) We try to assess the possibilities for a randomly drawn student attending today’s final exam to pass or fail the exam. (a) [2 p.] Using the Classic method, what is P(a student passes the exam)? (b) [2 p.] You are told that over the last 5 years, 450 students have taken this course, of which 125 have dropped out before the final. Of the remaining students, 300 passed the final. Using the Relative Frequency method, what is P(a student who takes the exam will pass)? (c) [2 p.] Using the Subjective method, what is P(a student in this class passes this exam)? Explain how you got your answer.
5 407. [Ch. 4; 6 points] (Probability) (a) [2 p.] You roll a fair die 5 times. What is the probability that it will land on 2 all 5 times?

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Exam-2-Universe-Q - BUS-271 Exam-2 Universe...

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