A technology manufacturing company has recently switched to the production of isolinear processors. They can make 400 processors every hour, however the probability that a randomly chosen processor works properly is 50%. Determine the probability that, of the 400 processors
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- A botanist developed a new hybrid cotton plant that can withstand insects better than other cotton plants. A random sample of 3000 seeds was planted in warm, moist soil. Of these seeds, 2300 germinated. Use relative frequencies to estimate the probability that a seed will germinateTuff Rubbers, a tire manufacturer, knows that 5% of the tires it produces are defective. To reduce the number of defective tires that make it to market, the manufacturer uses a special device to test each tire before shipping it out. The test will correctly detect a defective tire 97% of the time. However, the test will incorrectly indicate a good quality tire is defective 6% of the time. If the test indicates a tire is defective, the tire is recycled. Otherwise, the tire makes it to market. Let D represent the event a tire is defective, and T represent the event the test indicates a tire is defective. In each part of this question, express each probability only in terms of the events D and T and justify any computation by explicitly stating the formula you are using. (a) Express each of the three probabilities listed above in terms of the events D and T. (b) What percentage of tires are recycled? (c) What percentage of recycled tires are not defective? (d) What percentage of…The iHub features an array of 3D printers for student use. 3D printers use plastic filament spools to print out plastic parts. The iHub purchases 85% of their filament spools from Amazon, and the rest of their filament spools from Flash Forge. It has been determined that 9% of the filament spools from Amazon are defective, while only 3% of the filament spools from Flash Forge are defective. i) The iHub randomly selects one filament spool from its inventory. What is the probability of it being a defective filament spool? (three decimals) ii) If a filament spool at the iHub is randomly selected and determined to be defective, what is the probability that the filament spool was purchased from Amazon? (three decimals)
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