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Please type out the answer, show work out every step thank you. QUESTION 1 The amount of soda in a 12 ounce bottle is supposed

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QUESTION 1 The amount of soda in a 12 ounce bottle is supposed to be 12 ounces, right? There is some variability in the amount that the machines dispense into the bottles. Let the real amount of soda in each bottle follow a Normal distribution with mean 12.2 and standard deviation 0.3. If the bottle can only hold 13 ounces, what is the probability the bottle will overflow? (In other words, what is the probability that the machine dispenses more than 13 ounces?) O -6.097 O 0.0038 O 0.1249 O 0.348 QUESTION 2 Use the setup from Question #1. If fifteen percent of bottles hold not enough soda to be considered sellable, what is the minimum amount of soda necessary to be sellable? (In other words, what is the 15th percentile of soda dispensed?) O 11.8891 12.5109 O 12.2 O 0.3

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