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Suppose that 25% of all students at a large public university receive financial aid. Let normal...

Suppose that 25% of all students at a large public university receive financial aid. Let normal random variable X denotes the number of students in a random sample of size 50 who receive financial aid.

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Answer #1

Let  X denotes the number of students in a random sample of size 50 who receive financial aid.

25% of all students at a large public university receive financial aid.

We have

As we have used normal to approximate binomial

the probability that at most 10 students receive aid is 0.2568

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