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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 35.9 and 2.5 mpg, respectively.

Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 35.9 and 2.5 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 37 mpg? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) b. What is the probability that the average mpg of three randomly selected passenger cars is more than 37 mpg? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) c. If three passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 37 mpg? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

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