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At a large university it is known that 51% of the students live on campus. The...

At a large university it is known that 51% of the students live on campus. The director of student life is going to take a random sample of 100 students. What is the probability that more than half of the sampled students live on campus?

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Math   Statistics-And-Probability   
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Answer #1

according to the given question , at a large university it is known that 51% of the students live on campus. Therefore population proportion is

The director of student life is going to take a random sample of 100 students. Therefore sample size

Therefore the sample standard deviation is determined as:

Therefore the probability that more than half of the sampled students live on campus is determined as:

from the standard normal table.

Therefore the required probability is .

It is shown in diagram as:

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