Total serum cholesterol levels for individuals 65 years of age and older are assumed to follow a normal distribution, with a mean of 182 and a standard deviation of 14.7. A) If the top 12% of the cholesterol levels are assumed to be abnormally high, with is the upper limit of the normal range? B) If a random sample of 20 individuals aged 65 years or older is selected, what is the probability that their mean total serum cholestrol level is between 180 and 185?
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!
Total serum cholesterol levels for individuals 65 years of age and older are assumed to follow a
A) If the top 12% of the cholesterol levels are assumed to be abnormally high, with is the upper limit of the normal
B) If a random sample of 20 individuals aged 65 years or older is selected, what is the
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