Problem 6 Causes of Defects in Keyboard Manufacture Spray Mark. Black Spot 5.8%
ID: 3206004 • Letter: P
Question
Problem 6 Causes of Defects in Keyboard Manufacture Spray Mark. Black Spot 5.8% 8.2% Damage 20.6% warpage 39.5% Jetting 0.6% Pin Mlark. 16.6% Scratches 8.80% The above pie chart describes flaws discovered in the manufacturing process of computer keyboards use this information to answer the following: a. The probability that the defect was due to warpage b. The probability that the defect was due to scratches. c. The probability that the defect was due to incorrect color. d. The probability the defect is due to blackspot or spray mark. e. Is this the best graph type to depict the defect problem? Why/why not? Problem 7 Based on the pie chart in problem 6, are defects in keyboard manufacture mutually exclusive? Why/why not?Explanation / Answer
a. The probability that defect was due to warpage :
The pie that correspons to war page is 39.5% which means if we have 100 defects 39.5 defect are due to warpage
Probability that defect was due to warpage = 39.5/100 = 0.395
b. The probability that defect was due to scratches:
The pie that correspons to scratches is 8.8% which means if we have 100 defects, then 8.8 defects are due to scratches
Probability that defect was due to scratches = 8.8/100 = 0.088
c. The probability that defect was due to incorrect color:
There is no pie that correspons to incorrect coloris i.e 0% which means if we have 100 defects, then 0 defects are due to incorrect color
Probability that defect was due to incorrect color= 0/100 = 0.0
d.The probability the defect is due to blackspot or spary mark :
The pie that correspons to blackspot is 8.2% which means if we have 100 defects, then 8.2 defects are due to blackspot
The pie that correspons to spray mark is 5.8% which means if we have 100 defects, then 5.8 defects are due to spary mark
So the percentge of defects due to blackspot or spray mark : 8.2% +5.8% = 14%
The probability the defect is due to blackspot or spary mark = 14/100 =14%
Pie is better graph when the events are mutually exclusive. Pie can not be represented when the events are not mutually exclusive.
In this case there is chance that defects in keyboard manfacturing may not be mutually exclusive, one manfactured keyboard may have more than one defect type, i.e. for example a keyboard may have pin mark and scratches but these defect % can not be represented in the pie chart.
Problem 7. Based on pie chart in problem 6, are defects in keyboard manfacture mutually exclusive.
Ans : Yes. Because all the pies show in that chart correspond to individual defects only. which means no two or more defects that occured on one keyboad. If the defects are not mutually exclusive there would atleast some keyboards having more than one defect.
Mutually exclusive events : events are said to be mutually exclusive, if happening of any one of the events in a trail excludes the happening of any one of the others i.e. no two or more of the events can happen simultaneously in the same trail.