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  3. problem 6 a device is tested if it is found...

Question: problem 6 a device is tested if it is found...

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Problem 6. A device is tested. If it is found to be defective, then two more devices from the same lot are tested. However, if the first device is found to be okay, then only one additional item is tested. Assume that the devices are independent and that they come from, a batch in which 10% are defective. LetX denote the random variable that gives the total number of defective devices encountered during this testing procedure. (a) Draw a tree diagram to represent this experiment (b) Find the probability mass function for X. Write it in a table showing the unique values of X and their probability (c) Compute the expected value and variance of X
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