Each salesperson at Puchett, Sheets, and Hogan Insurance Agency is rated either below average, average, or above average with respect to sales ability. Each salesperson is also rated with respect to his or her potential for advancement—either fair, good, or excellent. These traits for the 500 salespeople were cross-classified into the following table a. What is this table called? b. What is the probability a salesperson selected at random will have above average sales ability and excellent potential for advancement? c. What is the probability a salesperson selected at random will have below sales ability given that he has a good potential for advancement?
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 at Puchett, Sheets, and Hogan Insurance Agency is rated either below average,
average, or above average with respect to sales ability. Each salesperson is also rated with respect
to his or her potential for advancement—either fair, good, or excellent. These traits for the 500
salespeople were cross-classified into the following table
a.
What is this table called?
b. What is the
and excellent potential for advancement?
c.
What is the probability a salesperson selected at random will have below sales ability given
that he has a good potential for advancement?
Each salesperson at Puchett, Sheets, and Hogan Insurance Agency is rated either below average,
average, or above average with respect to sales ability. Each salesperson is also rated with respect
to his or her potential for advancement—either fair, good, or excellent. These traits for the 500
salespeople were cross-classified into the following table
a.
What is this table called?
b. What is the probability a salesperson selected at random will have above average sales ability
and excellent potential for advancement?
c.
What is the probability a salesperson selected at random will have below sales ability given
that he has a good potential for advancement?
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