Answered

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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. a. What is the probability that a randomly selected student studies more than 27 hours per week

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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