A glass act In a process for manufacturing glassware,

Chapter , Problem R6.2

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A glass act In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. The temperature of the flame can be adjusted to one of five different settings. Here is the probability distribution of the flame temperature X (in degrees Celsius) for a randomly chosen glass: Temperature: 540 545 550 555 560 Probability: 0.1 0.25 0.3 0.25 0.1 X = 550C X = 5.7C (a) The target temperature is 550C. What are the mean and standard deviation of the number of degrees off target, D = X 550? (b) A manager asks for results in degrees Fahrenheit. The conversion of X into degrees Fahrenheit is given by y X = + 9 5 32. What are the mean Y and the standard deviation Y of the temperature of the flame in the Fahrenheit scale? Interpret the mean and standard deviation of a random variable. s Find the mean and standard deviation of the sum or difference of independent random variables.

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