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Question: A glass act In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. Let X be the temperature (in degrees Celsius) for a randomly chosen glass. The mean and standard deviation of X are μX = 550°C and σX = 5.7°C.

(a) Is temperature a discrete or continuous random variable? Explain.

(b) The target temperature is 550°C. What are the mean and standard deviation of the number of degrees off target, D = X - 550?

(c) A manager asks for results in degrees Fahrenheit. The conversion of X into degrees Fahrenheit is given by Y = (9/5)X + 32. What are the mean mY and the standard deviation sY of the temperature of the flame in the Fahrenheit scale?

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