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The statistical abstract of the United States reported that 66 % of students who graduated from...

The statistical abstract of the United States reported that 66 % of students who graduated from high school enrolled in college. If 100 high school graduate are sampled, find the probability that at least 75% high school graduates are enrolled in college.

Math   Statistics-And-Probability   
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Answer #1

Given: p = 66% = 0.66

n = 100

To find :

For finding this probability, we need to find Z score.

Use the following formula to find Z score.

= 1 - P(Z <= 1.8999)

We can find out this probability using the Z table or technology.

Suppose, we are finding the probability using excel.

USe the following excel command.

=NORMSDIST(Z)

=NORMSDIST(1.8999)

We will get, P(Z <= 1.8999) = 0.971277

That is, the probability of at least 75% high school graduates are enrolled in college = 0.029

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