A city has 1,028,183 residents. A recent census showed that 352,445 of these residents regularly use the city’s

public transportation system. A survey is being conducted in which 1,182 of the city’s 1,028,183 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 = 

A jury is to be selected for a proceeding in which the accused is alleged to have stolen money from a business partner. According to existing data, 44% of potential jurors have been a victim of a major theft at some point in their life that will make them unfairly prejudicial against the accused.

If 48 jurors are randomly chosen, calculate the probability that at least half of them will be unfairly prejudicial in this way assuming that the distribution of sample proportions is normal. You may find this standard normal table useful. Give your answer as a decimal to 5 decimal places.

Probability = 

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