A process yields 10% defective items. For testing purposes, 100 items are randomly selected from the process. A normal distribution may be approximated in order to get the probability of any event. What is the probability that the number of defectives exceeds 13? What is the probability that the number of defectives is less than 8?
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!
A process yields 10% defective items. For testing purposes, 100 items are
randomly selected from the process. A
- What is the probability that the number of defectives exceeds 13?
- What is the probability that the number of defectives is less than 8?
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