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chap1-4 - Stat-315 Applied Probability and Statistics...

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Stat-315 Applied Probability and Statistics Midterm 1 (Fall 2009) Name: Score: Students are required to finish the exam in class within two hours independently. Cheating is NOT allowed. Any forms of cheating or attempt to cheat is a serious offense which may lead to dismissal! Calculators (including TI-calculators) and two formula sheets are allowed. Please follow the steps to perform a test of hypothesis with either the critical value approach or the p-value approach. 1. ( 25 pts ) Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized below: shock resistance high low scratch high 60 15 resistance low 20 5 Let A denote the event that a disk has low shock resistance, and B denote the event that a disk has high scratch resistance. Determine (a) The number of disks in A B and A B . ( 3 pts each ) (b) P ( A ), P ( A B ) and P ( B | A ). ( 3 pts each ) (c) Are events A and B independent? ( 5pts ) Justify your answer. ( 5pts ) 1
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2. ( 10 pts
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