Mathematics Homework Help

One reason that normal distributions are important is that they describe how the results of an opinion poll would vary if the poll were repeated many times. About 40% of adult Americans say they are afraid to go out at night because of crime. Take many randomly chosen samples of 1050 people. The proportions of people in these samples who stay home for fear of crime will follow the normal distribution with mean 0.4 and standard deviation 0.015. Use this fact and the 68–95–99.7 rule to answer the questions below. 

In many samples, what percent of samples give results above 0.4? Above 0.43? 

Fill in the blanks 

__(1)____ percent of samples give results above 0.4. (Give your answer as a whole number.) 

__(2)____ percent of samples give results above 0.43. (Give your answer to 1 decimal place.)