Eggs. The ISA Babcock Company supplies poultryfarmers with hens, advertising that a mature B300Layer produces eggs with a mean weight of 60.7 grams.Suppose that egg weights follow a Normal model withstandard deviation 3.1 grams.a) What fraction of the eggs produced by these hensweigh more than 62 grams?b) What’s the probability that a dozen randomly selectedeggs average more than 62 grams?c) Using the 68–95–99.7 Rule, sketch a model of thetotal weights of a dozen eggs.
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!
Eggs. The ISA Babcock Company supplies poultry
farmers with hens, advertising that a mature B300
Layer produces eggs with a
Suppose that egg weights follow a Normal model with
standard deviation 3.1 grams.
a) What fraction of the eggs produced by these hens
weigh more than 62 grams?
b) What’s the probability that a dozen randomly selected
eggs average more than 62 grams?
c) Using the 68–95–99.7 Rule, sketch a model of the
total weights of a dozen eggs.
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