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1. state what the sample space is. How many fingers you are
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1. state what the sample space is.

How many fingers you are holding up behind your back on one hand.

2. Before leaving the factory, items are inspected for flaws. Suppose 10 percent of items actually have a flaw. If an item is truly flawed, the inspection process will correctly label it as flawed with probability 0.9. If the item is truly not flawed, the inspection process will incorrectly label it as flawed with probability 0.05. Let F denote the event the item is flawed, and + denote the even the item is labeled as flawed.

a. What is the probability a randomly chosen item is classified as flawed?

b. An item is classified as flawed. What is the probability that the item is actually flawed?

c. Are the events F and + independent? Why or why not.

 







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