What is the probability that a salesperson selected at random will have an excellent potential for advancement given he or she also has average sales ability?
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!
Each salesperson in a large department store chain is rated on his or her sales ability and potential for advancement. The data for the 500 sampled salespeople are summarized in the following table.
| Potential for Advancement | ||||
| Fair | Good | Excellent | ||
| Sales ability | Below average | 32 | 28 | 38 |
| Average | 53 | 72 | 76 | |
| Above average | 69 | 48 | 84 |
What is the
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0.17
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0.38
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0.554
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0.42
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