The extent of disease transmission can be affected greatly by the viability of infectious organisms suspended in the air. Because of the infectious nature of the disease under study, the viability of these organisms must be studied in an airtight chamber. One way to do this is to disperse an aerosol cloud, prepared from a solution containing the organisms, into the chamber. The biological recovery at any particular time is the percentage of the total number of organisms suspended in the aerosol that are viable. The data in the accompanying ta
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!
11.18 The extent of disease transmission can be affected greatly by the viability of infectious
organisms suspended in the air. Because of the infectious nature of the disease under study,
the viability of these organisms must be studied in an airtight chamber. One way to do this is to
disperse an aerosol cloud, prepared from a solution containing the organisms,
into the chamber.
The biological recovery at any particular time is the percentage
of the total number of organisms
suspended in the aerosol that are viable. The data in the accompanying table are the biological
recovery percentages computed from 13 different aerosol clouds. For each of the clouds, recovery
percentages were determined
at different times.
a. Plot the data.
b. Since there is some curvature, try to linearize the data using the log of the
biological
recovery.
Cloud Time, x (in minutes) Biological Recovery (%)
1 0 70.6
2 5 52.0
3 10 33.4
4 15 22.0
5 20 18.3
6 25 15.1
7 30 13.0
8 35 10.0
9 40 9.1
10 45 8.3
11 50 7 .9
12 55 7 .7
13 60 7 .7
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