workshop07 - CHEN 3010 Applied Data Analysis Fall 2004...

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CHEN 3010 Applied Data Analysis Fall 2004 Group Members: __________________________ __________________________ __________________________ __________________________ Workshop #7: Sampling with and without Replacement Objective: Sampling is an important technique in engineering, especially in manufacturing operations where large quantities of discrete products are made. This workshop will introduce you to the concepts of sampling with and without replacement and the corresponding probability distributions. Directions: 1. Organize into your groups and obtain a plastic bag with 8 lettered cubes. 2. Take the cubes out and select three of them at random. Consider all your cubes to be a manufactured product and the three you’ve selected to represent defective units. Denote here which cubes are your defectives: _____ _____ _____ Having done this, what is the fraction of your product that is defective? _________ Consider this as the background failure probability, p , of your product. 3. Place the cubes back into the bag. Each group member in turn should do the following: Mix up the contents of the bag (Note: no need for violence here – the cubes are ceramic, and this is not supposed to be a destructive test!) and select a cube from the bag 10 times, each
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workshop07 - CHEN 3010 Applied Data Analysis Fall 2004...

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