1) A city has 1,098,152 residents. A recent census showed that 352,804 of these residents regularly use the city's public transportation system. A survey is being conducted in which 1,156 of the city's 1,098,152 residents will be randomly selected.

This question relates to the proportion of the survey that is made up of people that do use the city's public transport.

The proportion of people in the survey that do use public transport approximately follows a normal distribution.Calculate the standard deviation of this distribution. Give your answer to 4 decimal places.

Standard deviation =

2) Todd Boaden is a professional skateboarder who is extremely pedantic about the width of his data. He demands that his wheels are exactly 2.028 inches wide. Unfortunately the manufacturing of skateboarding wheels is flawed and wheels that are labeled 2.028 inches

may not necessarily be 2.028 inches wide. If Todd receives a batch with more than 17% of the wheels being incorrectly labeled he becomes very angry.

The proportion of wheels that are labeled 2.028 inches but are not actually 2.028 inches

wide is equal to 0.21.Calculate the probability (a) that Todd becomes very angry with the next batch of 60 wheels that he receives. You may find this standard normal table

useful. Give your answer as a decimal to 4 decimal places.

a =