4. In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. The temperature of the flame varies a bit. Here is the distribution of the temperature, X, measured in degrees Celsius: Temperature Probability 540 545 0.25 550 555 560 0.1 0.3 0.25 0.1 a) Calculate the mean temperature and the standard deviation of the distribution of temperatures. b) The target temperature is 550° C. What are the mean and standard deviation of the number of degrees off target, Y = X- 550? c) A manager asks for results in degrees Fahrenheit. What are the mean and standard deviation of the temperature on the F =-C+32 Fahrenheit scale? (

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