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The foreman of a bottling plant has observed that the amount of soda in each 32-ounce bottle is actually a normally distributed random variable, with

The foreman of a bottling plant has observed that the amount of soda in each 32-ounce bottle is actually a normally distributed random variable, with a mean of 32.2 ounces and a standard deviation of .3 ounce. a. If a customer buys one bottle, what is the probability that the bottle will contain more than 32 ounces? b. If a customer buys a carton of four bottles, what is the probability that the mean amount of the four bottles will be greater than 32 ounces?

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To solve this problem we will use the properties of the normal distribution and the Central Limit Theorem a Probability that one bottle will contain m... blur-text-image

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