The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222 milligrams per deciliter (mg/dL) and standard deviation 37 mg/dl. (a) What percent of these men have high cholesterol (levels above 240 mg/dl)? (b) What percent have elevated cholesterol (between 200 and 240 mg/dl)? (c) In order to belong to the 20% group with the highest chole
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!
4. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222 milligrams per deciliter (mg/dL) and standard deviation 37 mg/dl.
(a) What percent of these men have high cholesterol (levels above 240 mg/dl)?
(b) What percent have elevated cholesterol (between 200 and 240 mg/dl)?
(c) In order to belong to the 20% group with the highest cholesterol level, what is the minimum cholesterol level a person must have in order to belong to this group?
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