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Sagot :
The probability that a randomly selected student studies more than 27 hours per week is 0.0014.
What do you mean by standard deviation?
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of a population
N = number of observations of population
X = mean
μ = population mean
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.
So, μ = 25
σ = 2.5 hours.
[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]
= P (z > 1.2)
= 1 - P (z < 1.2)
= 0.0014
Learn more about standard deviation:
https://brainly.com/question/11448982
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