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  3. suppose that the milespergallon mpg rating of passenger cars is...

Question: suppose that the milespergallon mpg rating of passenger cars is...

Question details

Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 39.3 and 2.9 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 40 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Probability:________________

b. What is the probability that the average mpg of four randomly selected passenger cars is more than 40 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Probability:________________

c. If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 40 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Probability:________________

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