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19. A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean of 200 mL and
19. A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean of 200 mL and a standard deviation of 10 mL. What is the probability that a randomly selected cup will contain more than 225 mL of coffee as dispensed by the machine? 20. The gasoline consumption of a certain model of an automobile is normally distributed with a mean of 12 kilometers per liter (km/L) and a standard deviation of 3 km/L. What is the probability that an automobile of this model will consume between 11.35 and 14.1 km/L? 21. The life expectancy of a certain brand of television is normally distributed with a mean of 5 years and a standard deviation 1.5 years. What is the probability that a randomly selected television of this brand will be in working condition for more than seven years? 22. In a large pharmaceutical manufacturer, it is observed that the bottles of cough syrup marked 300 mL vary in content with a standard deviation of 5 mL. Assume the content of the bottles are normally distributed. What percentage of the bottles of liquid cough syrup contains between 300.4 mL and 302.9 mL? 23. Keith owns an orchard where he grows carabao mangoes. The mangoes that are classified as medium-sized have a mean weight of 265 grams. Assume the weight of the mangoes to be normally distributed with a standard deviation of 12 grams. What percentage of the medium-sized carabao mangoes weigh anywhere from 250 to 270 grams? W 4. 5. 6
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