Answer Happy

Multiplication and Total Probability Rules Problem 2.112 from textbook (6h edition): (10pts) Heart failures are due to either natural occurrences (85%) or outside factors (15%). Outside factors are related to induced substances (73%) or foreign objects (27%). Natural occurrences are caused by arterial blockage (56%), disease (27%), and infection (e.g., staph infection) (17%). (a) Determine the probability that a failure is due to an induced substance. (b) Determine the probability that a failure is due to disease or infection Problem 2.113 from textbook (6th edition): (10pts) A batch of 30 injection-molded parts contains 6 parts that have suffered excessive shrinkage, a) If two parts are selected at random, and without replacement, what is the probability that the second part selected is one with excessive shrinkage? b) If three parts are selected at random, and without replacement, what is the probability that the third part selected is one with excessive shrinkago? Problem #4 (15pts) A firm has ordered a batch of identical electronic device 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?