In order to get promoted to the next grade, a student is required to score above 55 in the final test. Assume the scores to be normally distributed with a mean of 60 and a standard deviation of 5.5. Calculate the percentage of students who will be promoted to the next grade.

And we can find this probability with the complement rule:

And we can use excel or the normal standard table and we got:

So then we expect about 81.8% of students that will be promoted

Step-by-step explanation:

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

Where and

We want to find the following probability:

And we can use the z score formula given by:

Using the z score formula we got:

And we can find this probability with the complement rule:

And we can use excel or the normal standard table and we got:

So then we expect about 81.8% of students that will be promoted

its 69.420

step-by-step explanation:

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