Question

In: Statistics and Probability

Anderson Manufacturing orders four types of components for their new wireless headset from two suppliers. The...

  1. Anderson Manufacturing orders four types of components for their new wireless headset from two suppliers. The number of units received from a recent order is summarized in the table below:

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

  1. What proportion of the units were received from supplier 2? (1 mark)
  2. What proportion of the components received were Component 2? (1 mark)
  3. What proportion of Component 2 units received were from Supplier 1? (1 mark)
  4. What proportion of the units received from Supplier 2 were Component 3? (1 mark)

Solutions

Expert Solution

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.


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