In: Statistics and Probability
1. In a group of 15 ballpoint pens on a shelf int he stationery department of Office Max. 2 are known to be defective. If a costumer selects 3 of these pens at random, what is the probability that:
a.) At least 1 is defective?
b.) No more than 1 is defective?
2. In a manufacturing plant, three machines, A, B, and C, produce 40%, 35%, and 25%, respectively, of the total production. The company's quality-control department has determined that 1% if the items produced by Machine A, 1.5% of the items produced by Machine B, and 2% of the items produced by Machine C are defective. If an item is selected at random and found to be defective, what is the probability by Machine B? (Hint: draw a tree diagram)