Example 5 an automobile assembly plant produces sheet

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Example 5: An automobile assembly plant produces sheet metal door panels. Each panel moves on an assembly line. As the panel passes a robot, a mechanical arm will perform spot welding at different locations. Each location has a magnetic dot painted where the weld is to be made. The robot is programmed to locate the dot and perform the weld. However, experience shows that the robot is only 85% successful at locating the dot. If it cannot locate the dot, it is programmed to try again . The robot will keep trying until it finds the dot or the panel moves out of range. a) What is the probability that the robot's first success will be on attempts n = 1, 2, or 3? b) The assembly line moves so fast that the robot only has a maximum of three chances before the door panel is out of reach. What is the probability that the robot is successful in completing the weld before the panel is out of reach? Homework: Day 2: pg 550, 8.48, 8.49; pg 551 – 8.51, 8.53, 8.54, 8.55
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Chapter 8: The Binomial and Geometric Distributions Chapter 8: Review Objectives: Students will be able to: Summarize the chapter Define the vocabulary used Know and be able to discuss all sectional knowledge objectives Complete all sectional construction objectives Successfully answer any of the review exercises Vocabulary: None new Homework: pg 556 – 59; 8.59 - 8.66
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