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In: Statistics and Probability

The math department has installed two new printers, A and B. In his quest to accelerate...

The math department has installed two new printers, A and B. In his quest to accelerate global warming, Alex decides to kill trees by printing textbooks. He chooses to print from printer A with probability 3/4 and from printer B with probability 1/4. While printing, printer A has probability 1/10 of jamming and immediately destroying the current sheet of paper, and printer B has an independent 1/20 chance of doing the same. Satisfied with this plan, Anton sends off his favorite linear algebra textbook for printing. After some time, the printer jams. Undeterred, Anton fixes the jam and resumes the print job. If a second jam occurs, he concludes that today is not the day, and gives up printing. Let X be a random variable denoting the number of papers used before the print job is resumed (this is sheets successfully printed plus the one destroyed), and Y be the random variable denoting the number of sheets used after the restart (successfully printed plus the one destroyed). Determine whether or not X and Y are independent.

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orchestra answered 2 years ago
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