In: Statistics and Probability
Gears produced by a grinding process are categorized either as conforming (suitable for their intended purpose), degraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). Suppose that 74% of the gears produced are conforming, 12% are degraded, and 14% are scrap. Ten gears are selected at random.
What is the probability that one or more is scrap?
What is the probability that exactly nine are either conforming or degraded?