A quality control engineer inspects a random sampleof two hand-held calculators from each incoming lot of size 18 and accepts the lot if they are both in good work-ing condition; otherwise, the entire lot is inspected with the cost charged to the vendor. What are the probabilitiesthat such a lot will be accepted without further inspectionif it contains(a) 4 calculators that are not in good working condition;(b) 8 calculators that are not in good working condition;(c) 12 calculators that are not in good working condition?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
of two hand-held calculators from each incoming lot of
ing condition; otherwise, the entire lot is inspected with
that such a lot will be accepted without further inspection
if it contains
(a) 4 calculators that are not in good working condition;
(b) 8 calculators that are not in good working condition;
(c) 12 calculators that are not in good working condition?
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