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Unformatted text preview: 3.9 Problems 105 Figure 3.4 PDF of X for Problem 3.1 3.2 An insurance company has 1000 policies of men of age 50. The companys estimate is that the probability that a man of age 50 dies within one year is 0.02. What is the expected number of claims that the company can expect from the beneficiaries of these men within one year? 3.3 A class has 20 students whose heights are as follows: There are 4 students with a height of 5.5 feet, there are 5 students with a height of 5.8 feet, there are 3 students with a height of 6.0 feet, there are 5 students with a height of 6.2 feet, and there are 3 students with a height of 6.5 feet. If a student is randomly selected from the class, what is his expected height? 3.4 The time it takes a machine to perform an operation depends on the state it enters when the start button is pushed. There are three known states: fast , moderate , and slow . When it is in the fast state, it takes 2 minutes to perform the operation. When it is in the moderate state, it takes 4 minutes to perform the operation. When it is in the slow state, it takes 7 minutes to perform the operation. Studies indicate that the machine goes into the fast state 60% of the time when the start button is pushed; it goes into the moderate state 25% of the time; and it goes into the slow state 15% of the time. What is the expected time it takes the machine to perform the operation? 3.5 A student has three methods of solving a problem. It takes him 1 hour to solve the problem using method A. It takes him 45 minutes to solve the problem using method B. It takes him 30 minutes to solve the problem using method C. His friends discovered that the student uses method A 10% ofmethod C....
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This note was uploaded on 01/05/2010 for the course STAT 350 taught by Professor Carlton during the Fall '07 term at Cal Poly.
 Fall '07
 Carlton
 Probability

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