The length of time students needed in order to complete a statistics test followed a distribution that was approximately normal. The mean was 74 minutes, the standar deviation was 8 minutes. What proportion of students took more than one hour to complete the test?

And we can find this probability on this way:

And using the normal standard distribution table or excel and we got:

Step-by-step explanation:

Let X the random variable that represent the length of time student of a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

We can solve the problem using the z score formula given by:

If we apply this formula to our probability we got this:

And we can find this probability on this way:

And using the normal standard distribution table or excel and we got:

step-by-step explanation:

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