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National statistics report that 24% of residents in a particular country are living below the US...

National statistics report that 24% of residents in a particular country are living below the US federal poverty line. Suppose a random sample of 187 residents is taken, and after a thorough analysis, it is determined that 48 of those sampled are living below the US poverty line.   

A) Can researchers approximate the distribution with the standard normal?

B) Calculate the probability of observing the results of the sample given the national statistics report.

C) Calculate the mean and standard deviation of the distribution given your assumptions made in part A.

D) What is the probability of identifying between 21 and 30 households in the sample that live below the US federal poverty line?

Math   Statistics-And-Probability   
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