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2. You need to make 7 usable experimental prototypes for a part that is rather difficult...

2. You need to make 7 usable experimental prototypes for a part that is rather difficult to fabricate effectively. On any attempt to make the part there is a 0.8 probability that the process will turn out successful and the part will be usable. a.) What is the probability that it will take you 10 attempts to end up with 7 usable parts?

b.) What is the expected number of attempts you must make and what is the standard deviation?

3. Suppose now that instead of setting out to make 7 usable parts, you decide in advance you will just attempt the process 10 times and see how many usable parts you get from that.
a.) What is the probability you will end up with exactly 7 usable parts?

b.) What is the expected value and standard deviation of the number of usable parts you'll have?

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