Binomial probability distribution

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According to the Higher Education Research Institute, 55% of college freshmen in 4-year colleges and universities during 2003 were female. Suppose 8 freshmen are randomly selected and the number of females is recorded.

Explain why the distribution is considered as a binomial probability distribution?

Find its p, q and n.

Write in words what is success and failure in this scenario?

Find the probability that exactly 7 of them are female.

The probability that at most 2 of them are female.

Find the probability that at least 7 of them are female.

Find the probability that more than 2 of them are female.

Find the mean and standard deviation of the distribution.

What is the expected number of freshmen are females in 4 years colleges?

If we choose random sample of 50 freshmen what is the expected number of freshmen are female?

Reference no: EM132402433

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