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Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 37.8 mpg and 3.9 mpg,

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Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 37.8 mpg and 3.9 mpg, respectively. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected passenger car gets more than 39 mpg? (Round final answer to 4 decimal places.) Probability 0.3820 b. What is the probability that the average mpg of three randomly selected passenger cars is more than 39 mpg? (Round final answer to 4 decimal places.) Probability 0.7035 c. If three passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 39 mpg? (Round final answer to 4 decimal places.) Probability 0.2382

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