Author Question: There are three approaches to determining the probability that an outcome will occur: classical, ... (Read 91 times)

washai

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There are three approaches to determining the probability that an outcome will occur: classical, relative frequency, and subjective. For each situation that follows, determine which approach is most appropriate.
 a. A Russian will win the French Open Tennis Tournament next year.
  b. The probability of getting any single number on a balanced die is 1/6.
  c. Based on the past, it's reasonable to assume the average book sales for a certain textbook is 6,500 copies per month.

Question 2

Alana, Eva, and Stephanie, three candidates for the presidency of a college's student body, are to address a student forum. The forum's organizer is to select the order in which the candidates will give their speeches, and must do so in such a way that each possible order is equally likely to be selected.
 a. What is the random experiment?
  b. List the outcomes in the sample space.
  c. Assign probabilities to the outcomes.
  d. What is the probability that Stephanie will speak first?
  e. What is the probability that Alana will speak before Stephanie does?



annierak

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Answer to Question 1

a. subjective
b. classical
c. relative frequency

Answer to Question 2

a. The random experiment is to observe the order in which the three candidates give their speeches.
b. S = ABC, ACB, BAC, BCA, CAB, CBA, where A = Alana, B = Eva, and C = Stephanie.
c. The probability assigned to each outcome is 1/6.
d. P(CAB, CBA) = 1/3
e. P(ABC, ACB, BAC) = 1/2



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