Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/muL.) Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean? What are the minimum and maximum possible platelet counts that are within 2 standard deviations of the mean? LOADING... Click the icon to view the table of platelet counts. Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean? At least nothing% of women have platelet counts within 2 standard deviations of the mean.
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!
Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/muL.) Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean? What are the minimum and maximum possible platelet counts that are within 2 standard deviations of the mean?
LOADING... Click the icon to view the table of platelet counts.
Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean?
At least
nothing% of women have platelet counts within 2 standard deviations of the mean.
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