the field of quality control, the science of statistics is often used to determine if a process is "out of control". Suppose the process is, indeed, out of control and 20% of items produced are defective. a) If three items arrive off the process line in succession, what is the probability that all three are defective? b) If four items arrive in succession, what is the probability that three are defective?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In the field of quality control, the science of statistics is often used to determine if a process is "out of control". Suppose the process is, indeed, out of control and 20% of items produced are defective.

a) If three items arrive off the process line in succession, what is the probability that all three are defective?

b) If four items arrive in succession, what is the probability that three are defective?

 

Please answer with complete solution. Thank you.

 

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