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A city has 1,088,508 residents. A recent census showed that 399,252 of these residents regularly use the city's public ti'ansportation system. A survey is being

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A city has 1,088,508 residents. A recent census showed that 399,252 of these residents regularly use the city's public ti'ansportation system. A survey is being conducted in which 1,084 of the city's 1,088,588 residents will be randomly selected. This question relates to the number of people in the survey that is made up of people that do use the city's public transport. The number of people in the survey.r that do use public ti'ansport approximately follows a normal distribution. Calculate the standard deviation of this distribution. Give your answer rounded to 2 decimal places Standard deviation = \\:i The government regulator of the insurance industry require: that all insurers have less than 13% of their reserves invested in high risk assets. A high risk asset is dened by the regulator as one which has an expected return greater than 23.49% pa. The regulator has selected IHI Insurance for a surprise evaluation. The population proportion of [H1 reserves that are invested in high risk assets is equal to 0.21. However the regulator will not check all of the reserves so IHI has hope that it might still pass the evaluation. The regulator has randomly selected 55 of the IHI reserve investments and will test whether each one is a high risk asset. Calculate the probability that [HI passes the evaluation based on the sample proportion of reserve investments. You may nd this standard normal table useful. Give your answer as a decimal to 4 decimal places. (HintJ. probability = \\:|

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