a firm has orderd a batch of identical electronic devices from 4 different suppl

Question

a firm has orderd a batch of identical electronic devices from 4 different suppliers with the following distribution: 30% supplier 1, 20% supplier 2, 35% supplier 3 and 15% supplier 4. The historical data shows that 8% of supplier 1 items, 6% of supplier 2 items , 4% of supplier 3 items and 10% of supplier 4 items are defective. 1- what is the probability that a randomly selected device is coming from supplier 3 and is defective? 2- if an item is selected randomly from the batch, what is the probability that the selected item is defective? 3- if an item is selected at random and it is defective, what is the probability that it is coming from supplier 3 ? a firm has orderd a batch of identical electronic devices from 4 different suppliers with the following distribution: 30% supplier 1, 20% supplier 2, 35% supplier 3 and 15% supplier 4. The historical data shows that 8% of supplier 1 items, 6% of supplier 2 items , 4% of supplier 3 items and 10% of supplier 4 items are defective. 1- what is the probability that a randomly selected device is coming from supplier 3 and is defective? 2- if an item is selected randomly from the batch, what is the probability that the selected item is defective? 3- if an item is selected at random and it is defective, what is the probability that it is coming from supplier 3 ? a firm has orderd a batch of identical electronic devices from 4 different suppliers with the following distribution: 30% supplier 1, 20% supplier 2, 35% supplier 3 and 15% supplier 4. The historical data shows that 8% of supplier 1 items, 6% of supplier 2 items , 4% of supplier 3 items and 10% of supplier 4 items are defective. 1- what is the probability that a randomly selected device is coming from supplier 3 and is defective? 2- if an item is selected randomly from the batch, what is the probability that the selected item is defective? 3- if an item is selected at random and it is defective, what is the probability that it is coming from supplier 3 ?

Explanation / Answer

The above table gives a clear picture of proporiton of prob for defectives from different suppliers

1) probability that a randomly selected device is coming from supplier 3 and is defective = 0.015

2) an item is selected randomly from the batch, what is the probability that the selected item is defective

= Prob for defective =

0.085

3) if an item is selected at random and it is defective, what is the probability that it is coming from supplier 3

= P(supplier 3 and defective)/Prob defective

= 0.015/0.085

= 0.1765

Supplier I II III IV Total Percent of distribution 30 20 35 15 100 Defective percent 8 6 4 10 Prob of defective(in decimals) 0.024 0.012 0.014 0.015 0.085

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.