The length of human pregnancies is approximately normal with a mean 266 days and a standard deviation of 16 days. What is the probability that a randomly selected pregnancy last less than 258 days? (Round to 4 decimal places)
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!
The length of human pregnancies is approximately normal with a
The independent variable is the length of human pregnancies. It is measured by days.
It is given that, the population mean is 266 and the population standard deviation is 16.
We have to find the probability that randomly selected pregnancy last less than 258 days.
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