Suppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=230 is 0.0122. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The proportion of human pregnancies that last more than _____days is _____. B. The proportion of human pregnancies that last lessthan___ days is ____
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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(a) The figure to the right represents the normal curve with
μ=266
days and
σ=16
days. The area to the
left
of
X=230
is
0.0122.
Provide two interpretations of this area.Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals.)
The proportion of human pregnancies that last more than _____days is _____.
The proportion of human pregnancies that last lessthan___ days is ____
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