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A gasoline tank for a Honda Accord is engineered to hold 15 gallons of gas.  Gas tank...

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Statistics

A gasoline tank for a Honda Accord is engineered to hold 15gallons of gas.  Gas tank capacity for a randomlyselected Accord has an approximately normal distribution with mean15.0 gallons and standard deviation of 0.1 gallons.

(a) What is the probability that a randomly selected Accord hasa gas tank capacity within one standard deviation of the mean?

(b) What is the probability that a randomly selected tank willhold at most 14.85 gallons? Sketch a graph of this situation andshade the appropriate region.

(c) What is the probability that in the next twelve carsrandomly selected, exactly four of those tanks will hold at most14.85 gallons? Use your results from part (b).

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