Question

- At a certain college in Louisiana, it is claimed that 77% of the students at the college are receiving some form of student tuition assistance. If 510 students at this college are randomly selected, use the Normal approximation to binomial distribution to find the probability that 370 or more of the students are receiving some form of tuition assistance. (Hint: Remember to make the continuity correction)

Answer #1

Solution: The mean and standard deviation is given below:

We are required to find:

Using the continuity correction, we have to find:

Now using the z-score formula, we have:

Now using the standard normal table, we have:

**Therefore, the probability that 370 or more of the
students are receiving some form of tuition assistance is
0.9927**

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