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A company gives each of its employees the title of either 'programmer' or 'project manager'. In any given year, 70% of programmers remain in that

A company gives each of its employees the title of either 'programmer' or 'project manager'. In any given year, 70% of programmers remain in that position, 20% are promoted to project manager, and 10% are fired. On the other hand, 95% project managers remain in that position and only 5% are fired. How long on average does a programmer work before they are fired?

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