A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable ? = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 15.0 gallons and standard deviation 0.1 gallon. What is the probability that a randomly selected tank will hold at most 14.8 gallons? What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons? If two such tanks are independently selected, what is the probability that both hold at most 15 gallons?

MATLAB: An Introduction with Applications
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  1. A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable ? = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 15.0 gallons and standard deviation 0.1 gallon.

    1. What is the probability that a randomly selected tank will hold at most 14.8 gallons?

    2. What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons?

    3. If two such tanks are independently selected, what is the probability that both hold at most 15 gallons?

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