Question 4.133

4.133 Making glassware.

In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. The temperature of the flame varies. Here is the distribution of the temperature measured in degrees Celsius:

Temperature 540° 545° 550° 555° 560°
Probability 0.1 0.25 0.3 0.25 0.1
  1. Find the mean temperature and the standard deviation .
  2. The target temperature is 550oC. Use the rules for means and variances to find the mean and standard deviation of the number of degrees off target, .
  3. A manager asks for results in degrees Fahrenheit. The conversion of into degrees Fahrenheit is given by

What are the mean and standard deviation of the temperature of the fame in the Fahrenheit scale?

4.133

(a) (b) (c)