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A glass act In a process for manufacturing glassware, glass stems are sealed by heating
Chapter 6, Problem R6.2(choose chapter or problem)
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 mX = 550C and sX = 5.7C. a) Is temperature a discrete or continuous random variable? Explain. (b) How is P(X < 540) related to P(X 540)? Explain. (c) The target temperature is 550C. What are the mean and standard deviation of the number of degrees off target, D = X 550? (d) 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?
Questions & Answers
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 mX = 550C and sX = 5.7C. a) Is temperature a discrete or continuous random variable? Explain. (b) How is P(X < 540) related to P(X 540)? Explain. (c) The target temperature is 550C. What are the mean and standard deviation of the number of degrees off target, D = X 550? (d) 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?
ANSWER:Step 1 of 6
Given,
The temperature (in degrees Celsius) for a randomly chosen glass = X
The mean of X,
The standard deviation of X,