Gears produced by a grinding process are categorized either as conforming (suitable for intended purpose), degraded (unsuitable for intended purpose, but usable for another purpose), or scrap (not usable). Suppose that 80% of gears produced are conforming, 15% are degraded, and 5% are scrap. Ten gears are selected at random. (a) What is the probability that one or more gear is scrap? (b) What is the probability that eight or more are conforming or degraded? (c) What is the probability that 4 are conforming, 4 are degraded and 2 are scrap?

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