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  Stat 201 Quiz3&amp;Ans (2003)
  
  # Stat 201 Quiz3&amp;Ans (2003) - STAT 201 Quiz 3 Student...
  
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  May 30, 2003 Name: Student #: Show work for all calculations. You need NOT use a calculator. e.g. You may leave 1 2 + 2 5 × 0 . 4 as your Fnal answer. I randomly select (with replacement) two students from the Stat 201 class. I’m interested in whether each shares my birthday. Assume each random selection is just like randomly selecting a day out of 365 in a calendar year. 1. Compute the probability of the following events: (a) (1 pt) A = { the Frst selected student shares my birthday } (b) (1 pt) B = { both students share my birthday } (c) (2 pts) C = { only one of the two students shares my birthday } 2. (1 pt) The complement of an event E is deFned as E c = { “opposite” of E } so that P ( E ) + P ( E c ) = 1. Therefore, E and E c are (circle your answer): (a) independent. (b) mutually exclusive. (c) not mutually exclusive. (d) none of the above. 3. Take events A, B , and C from Question 1. (a)
  
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  Stat 201 Quiz3&amp;Ans (2003) - STAT 201 Quiz 3 Student...
  
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explanation: The document appears to be a quiz or exam from a statistics course (STAT 201) with questions and answers. It contains multiple questions related to probability and events, and it also includes the answers to these questions.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: {[ promptMessage ]}
  
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  Stat 201 Quiz3&amp;Ans (2003)
  
  # Stat 201 Quiz3&amp;Ans (2003) - STAT 201 Quiz 3 Student...
  
  This preview shows pages 1–2. Sign up to view the full content.
  
  May 30, 2003 Name: Student #: Show work for all calculations. You need NOT use a calculator. e.g. You may leave 1 2 + 2 5 × 0 . 4 as your Fnal answer. I randomly select (with replacement) two students from the Stat 201 class. I’m interested in whether each shares my birthday. Assume each random selection is just like randomly selecting a day out of 365 in a calendar year. 1. Compute the probability of the following events: (a) (1 pt) A = { the Frst selected student shares my birthday } (b) (1 pt) B = { both students share my birthday } (c) (2 pts) C = { only one of the two students shares my birthday } 2. (1 pt) The complement of an event E is deFned as E c = { “opposite” of E } so that P ( E ) + P ( E c ) = 1. Therefore, E and E c are (circle your answer): (a) independent. (b) mutually exclusive. (c) not mutually exclusive. (d) none of the above. 3. Take events A, B , and C from Question 1. (a)
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document appears to be a quiz or exam from a statistics course (STAT 201) with questions and answers. It contains multiple questions related to probability and events, and it also includes the answers to these questions.
  
  Label: multiple-question-and-answer