One reason normal distributions are important is that they describe how results of an opinion poll would vary if the poll were repeated many times.  About than 40 percent of adult Peruvians say they are afraid to go out at night because of the crime.  Many random samples of 1050 people were taken.  The proportions of the People in these samples who stay home for fear of crime follow a normal distribution with a mean of 0.4 and a standard deviation of 0.015.   Answer the next questions.  (a) In a large number of samples, what percentage of samples give results for above 0.43?  (b) In a large number of samples, what interval contains the middle (middle) 95% of the proportions of people who stay at home due to fear of crime?

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One reason normal distributions are important is that they describe how results of an opinion poll would vary if the poll were repeated many times.  About than 40 percent of adult Peruvians say they are afraid to go out at night because of the
crime.  Many random samples of 1050 people were taken.  The proportions of the People in these samples who stay home for fear of crime follow a normal distribution with a mean of 0.4 and a standard deviation of 0.015.  

Answer the next questions.

 (a) In a large number of samples, what percentage of samples give results for above 0.43?
 (b) In a large number of samples, what interval contains the middle (middle) 95% of the proportions of people who stay at home due to fear of crime?

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