(See Solution) "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
Question: "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 | 540 o 545 o 550 o 555 o 560 o |
| Probability | 0.1 0.25 0.3 0.25 0.1 |
- Find the mean temperature \({{\mu }_{X}}\) and the standard deviation \({{\sigma }_{X}}\) .
- The target temperature is 550 o C. What are the mean and standard deviation of the number of degrees off target, X-550?
- A manager asks for results in degrees Fahrenheit is given by
Y=(9/5) X +32
What are the mean \({{\mu }_{Y}}\) and standard deviation \({{\sigma }_{Y}}\) of the temperature of the flame in degrees Fahrenheit scale?"
Deliverable: Word Document 