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Mathematics, 28.08.2019 21:30 ctomo2004
If you were to run a real-world company, the cost of the materials would be a big consideration. a savvy business person would want to keep cost down by keeping the amount of materials in their products to a minimum. how might knowing about the geometry and volumes of different 3-d shapes with this decision making process?
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Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?
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If you were to run a real-world company, the cost of the materials would be a big consideration. a s...
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