At an ocean-side nuclear power plant, sea water is used as part of the cooling system. This use raises the temperature of the water that is discharged back into the ocean. The amount that the water temperature is raised has a uniform distribution over the interval from 10 to 25°C.

(a) What is the probability that the temperature increase will be

(1) less than 20°C?
(2) between 20 and 22°C?

(b) Suppose that a temperature increase of more than 18°C is considered to be potentially harmful to the environment. What is the probability, at any point of time, that the temperature increase is potentially dangerous?

(c) What is the expected value of the temperature increase?

(d) What is the standard deviation of the temperature increase?

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a Let X be the temperature raised From the given problem the X is uniform ... View the full answer