The faculty and staff at Dana-Farber Cancer Institute in Boston are required to undergo a tuberculosis test each year. Use the following table to answer the questions below. If a Dana-Farber faculty or staff worker goes in to have a TB test, what is the chance of him/her getting a positive test result? Test Result Tuberculosis Yes No Total Positive 4995 99,950 104,945 Negative 5 9,895,050 9,895,055 Total 5,000 9,995,000 10,000,000
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 faculty and staff at Dana-Farber Cancer Institute in Boston are required to undergo a tuberculosis test each year. Use the following table to answer the questions below. If a Dana-Farber faculty or staff worker goes in to have a TB test, what is the chance of him/her getting a positive test result?
|
Test Result |
Tuberculosis Yes No |
Total |
|
|
Positive |
4995 |
99,950 |
104,945 |
|
Negative |
5 |
9,895,050 |
9,895,055 |
|
Total |
5,000 |
9,995,000 |
10,000,000 |
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