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6. (15) If the time required to assemble a product is normally distributed with a mean of 180 minutes and a standard deviation of 15
6. (15) If the time required to assemble a product is normally distributed with a mean of 180 minutes and a standard deviation of 15 minutes, find a. the probability that the product's assembly time would be less than 168 minutes b. the probability that the product's assembly time would be greater than 190 minutes c. the probability that the product's assembly time would be between 174 and 186 minutes d, the number of minutes within which 95% of all such products would be a 7. (15) The time required to prepare a dry cappuccino using whole milk at the Daily Grind Coffee House is uniformly distributed between 25 and 35 seconds. Assuming a customer has just ordered a whole-milk dry cappuccino, a. What is the probability that the preparation time will be more than 29 seconds? b. What is the probability that the preparation time will be between 28 and 33 seconds? c. What percentage of whole-milk dry cappuccinos will be prepared within 31 seconds? d. What is the standard deviation of preparation times for a dry cappuccino using whole milk at the Daily Grind Coffee House
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