The amount of coffee dispensed by a certain machine into a cup is a continuous random variable x that assumes all values from x = 11 and x = 25 ounces with uniform probability distribution. 1. Find the probability that a cup filled by this machine will contain at least 14.5 ounces. 2.Find the probability that a cup filled by this machine will contain more than 16.5 ounces but less than 18 ounces. 3. Find k such that P (x > k) = 0.3. Explain what this number represents.

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