quiz2-key

# quiz2-key - Let A denote the event that the chosen sample...

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Quiz 2. January 26, 2011 Seat # _________ Name: ___ < KEY > ___ Closed book and notes. No calculators. In probability, we always have an experiment. 1. (1 pt) The set of all ___ < outcomes> ___ is called the sample space. 2. (1 pt) Each ___ < replication > ___ of the experiment results in exactly one outcome. 3. (1 pt) An event is {a,an} ___ < subset > ___ of the sample space. 4. (1 pt) T F An event A and its complement partition the sample space. 5. (1 pt) T F If n events E 1 , E 2 , . . . , E n are equally likely then P( E i ) = 1 / n . 6. (1 pt) T F If events A and B are mutually exclusive, then P( A B ) = . For Questions 7 and 8, consider Montgomery and Runger’s Problem 2–63. Samples of emissions from three suppliers are classified for conformance to air- quality standards. The results from 100 samples are summarized in the table. conforms yes no 1 22 8 supplier 2 25 5 3 30 10 Consider the experiment of choosing one of the 100 samples, each with equal likelihood. Let A denote the event that the chosen sample conforms to
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Unformatted text preview: Let A denote the event that the chosen sample conforms to specifications. Let B denote the event that the chosen sample is from supplier 2. 7. (two pts) Determine the value of P( B ′ ). (Show your logic.) ____________________________________________________________ P( B ′ ) = 1 − P( B ) = 1 − (25 + 5) / 100 = 0.7 ← ____________________________________________________________ 8. (two pts) Determine the value of P( A ′ ∪ B ′ ). (Show your logic.) ____________________________________________________________ P( A ′ ∪ B ′ ) = P[( A ∩ B ) ′ ] = 1 − P( A ∩ B ) = 1 − 25 / 100 = 0.75 ← ____________________________________________________________ ______________________________________________________________________ Write on the back any concerns about the weekly quizzes or the course in general. IE 230. – Page 1 of 1 – Schmeiser...
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