The total cholesterol levels of a sample of men aged 3544 are normally distributed with a mean of 222 milligrams per deciliter and a standard deviation of 384 milligrams er decilter. a) What percent of the men have a total cholesterol level less than 233 miligrams per decilter of blood? b) If 245 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 259 miligrams per deciliter of blood? a) The percent of the men that have a total cholesterol level less than 233 milligrams per deciliter of blood is. Round to two decimal places as needed.)
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!
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