Handout+asignment+II+Fall+14

Handout+asignment+II+Fall+14 - Assignment 2 Due date 1 A...

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Assignment 2 Due date: 9/30/2014 1. A small brewer has two bottling machines. Machine A produces 75% of the bottles, and machine B produces 25% of the bottles. 1 out of 20 bottles filled by A is rejected for some reason, wile 1 out of every 30 bottles from B id rejected. What is the probability that a randomly selected bottle comes from machine A, given that is accepted? 2. A municipal bond service has three rating categories (A, B, and C) and is issued by city or suburbs. Suppose that 70% of all the issued bonds were A rated, 20% of all the issued bonds were B rated, and 10% of all the issued bonds were C. Of the municipal bonds rated A, 50% were issued by cities. Of the municipal bonds rated B, 40% were issued by cities. Of the municipal bonds rated C, 50% were issued by cities. 2. If three bonds are selected at random, list the sample space indicating the possible rating categories for all three. 3. What is the probability that a bond issued by suburbs?
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