The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. (a) If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams. (b) If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 220 milligrams.
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!
#02. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard
deviation is 15 milligrams. Assume the variable is
(a) If a single egg is selected, find the
greater than 220 milligrams.
(b) If a sample of 25 eggs is selected, find the probability that the mean of the sample will
be larger than 220 milligrams.
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