# Homework_2 - c a sample is from the first or third...

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STAT 401 Spring 2016 1 Homework #2 Section 2.2 # 2, 7 Problem A: 100 samples of emissions from three suppliers are classified for conformance to air-quality specifications, and the results are summarized in the table below: conforms yes no supplier 1 22 8 2 25 5 3 30 10 Let A denote the event that a sample is from supplier 1, B denote the event that a sample is from supplier 2, and C denote the event that a sample conforms to specifications. For each of the following events provide the set notations (using A, B, C, and set operations) and determine the number of samples: a) a sample doesn’t conform to specifications b) a sample is from supplier 1 and
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Unformatted text preview: c) a sample is from the first or third suppliers and conforms to specifications. d) a sample is from supplier 1 or conforms to specifications (or both). Section 2.3 # 7, 9, 11, 15 Section 2.4 # 2, 6, 10, 12 [BONUS] Problem B: Suppose events A, B, and C are mutually exclusive and P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4. For each of the following events draw Venn diagram and find the probability: a) A C B C C C b) (A B ) C c) (A B ) C C Problem C: A fair coin is flipped 10 times. Find the probability of observing exactly 5 tails....
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