In: Statistics and Probability
Component |
|||||
1 |
2 |
3 |
4 |
Total |
|
Supplier-1 |
180 |
100 |
140 |
120 |
540 |
Supplier-2 |
200 |
150 |
180 |
170 |
700 |
Total |
380 |
250 |
320 |
290 |
1240 |
The distribution here is given as:
1 | 2 | 3 | 4 | Total | |
Supplier-1 | 180 | 100 | 140 | 120 | 540 |
Supplier-2 | 200 | 150 | 180 | 170 | 700 |
Total | 380 | 250 | 320 | 290 | 1240 |
a) Proportion of units that were received from supplier 2 is computed here as:
= n(Total from supplier 2) / n(Total units)
= 700 / 1240
= 0.5645
Therefore 0.5645 is the required proportion here.
b) The proportion of the components received that were Component 2 is computed here as:
= n(Total component 2 ) / Total components
= 250/1240
= 0.2016
Therefore 0.2016 is the required proportion here.
c) The proportion of Component 2 units that received were from Supplier 1 is computed here as:
= n(Component 2 and supplier 1) / P( components 2)
= 100/250
= 2/5 = 0.4
Therefore 0.4 is the required proportion here.
d) The proportion of units received from supplier 2 that were component 3 is computed here as:
= n(Supplier 2 and component 3) / n(Supplier 2)
= 180 / 700
= 0.2571
Therefore 0.2571 is the required proportion here.