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Answer:
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