A city has 1,186,789 residents. A recent census showed that 309,212 of these residents regularly use the city's public transportation system. A survey is being conducted in which 1,037 of the city's 1,186,789 residents will be randomly selected.

This question relates to theproportionof 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 =

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A recent newspaper article claimed that 18% of all sick days throughout the year are taken illegitimately. In response to this article, the Mean Corporation has randomly selected 148 employees for an annual review of the corporation's truancy rates. The officer carrying out the review has declared: "If the proportion of illegitimate sick days per year taken by you people is not less than 0.16, you will all be fired!"

Calculate the probability that the proportion of illegitimate sick days taken within the sample is less than 0.16. You may find thisstandard normal tableuseful. Give your answer as a decimal to 4 decimal places.

probability =