A firm has ordered a batch of identical electronic devices f

A firm has ordered a batch of identical electronic devices from 4 different suppliers with the following distribution 35% from supplier 1 (S1), 25% from supplier 2 (S2), 25% from supplier 3(S3), and 15% from suppler 4(54). Th historical data shows that 10% of supplier 1\'s Items, 7% of supplier 2\'s items, 6% of supplier 3\'s items, and 15% of suppler 4\'s items are detective (D). Answer the below question stating by clearly specifying the probability of the event and then calculate it (i.e. in this way (P(A B) = x)) 1. What is the probability that a randomly selected device is coming from supplier 2 knowing that it is defective? 2. What is the probability that a randomly selected device is coming from supplier 2 and defective? 3. What is the probability that a randomly selected device is coming from supplier 2 or is defective? 4. If an item is selected randomly from the batch, what is the probability that the selected item is defective? If an item is selected at random and it is detective, what is the probability that it is coming from supplier 1? A part is labeled using 4 thick lines, 5 medium lines and 3 small lines. How many different labels can be generated by this scheme.

Solution

1) Prob (supplier II/defective) = 0.0175/0.0725 = 0.2413

2) Prob (Supplier II and defective) = 0.0175

3) Prob (supplier II or defective) = 0.25X0.0725 = 0.01825

4) Prob(defective) = 0.0725

5) P(defective/supplier I) = 0.10

6) 4 thick, 5medium, 3 small

Different kinds of label = 4x5x3 = 60

Supplier	I	II	iII	IV
Percent	35	25	25	15
defects	10	7	6	3
Int prob	0.035	0.0175	0.015	0.0045