A normally distributed population has mean 57.7 and standard deviation 12.1
Find the probability that a single randomly selected element X of the population is less than 45
The probability that the sampled element will be less than 45 is given by the normal distribution cdf at 45:
= Norm.cdf( x, mean, sd )
= Norm.cdf( 45, 57.7, 12.1 )
(This is because the cdf of the distribution gives you the total probability up to that point, i.e. the area under the distribution curve to the left of whatever x is)
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