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quiz2-key

quiz2-key - likelihood Let A denote the event that the...

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Quiz 2. September 8, 2010 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) A subset of the sample space is {a,an} __ < event > __. 4. (1 pt) T F An event A is said to have occurred if the outcome is in A . 5. (1 pt) T F If event A is contained in event B , then P ( A ) P ( B ). 6. (1 pt) T F Events A and B are mutually exclusive if 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
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Unformatted text preview: likelihood. 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 ( A ′ ). (Show your logic.) P ( A ′ ) = 100 8 + 5 + 10 hhhhhhhhh = 100 23 hhhh ← 8. (two pts) Determine the value of P ( A ∪ B ). (Show your logic.) P ( A ∪ B ) = (22 + 25 + 30 + 5) / 100 = 82 / 100 ← or P ( A ∪ B ) = P( A ) + P( B ) − P( A ∩ B ) = 100 22 + 25 + 30 hhhhhhhhhhh + 100 25 + 5 hhhhhh − 100 25 hhhh = 100 82 hhhh ← ______________________________________________________________________ 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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