The factory workers in Brighton are prone to a disease called Pneumonia. In a recent survey in a workplace in Brighton, about 16% of the employees have been infected by it. Presume the same portion (rate) holds nationwide. Use the normal distribution and approximate the probability, out of a random sample of 450 workers, the number of workers that are prone to disease at present will be a) 30 or more; b) 28 or less.
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!
The factory workers in Brighton are prone to a disease called Pneumonia. In a recent survey in a workplace in Brighton, about 16% of the employees have been infected by it. Presume the same portion (rate) holds nationwide. Use the
a) 30 or more;
b) 28 or less.
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