The Bahamas is a tropical paradise made up of 700 islands sprinkled over 100,000 square miles of the Atlantic Ocean. According to the figures released by the government of the Bahamas, the mean household income in the Bahamas is $38, 275 and the median income is $34, 261. A demographer decides to use the lognormal random variable to model this non symmetric income distribution. Let Y represent household income, where for a normally distributed X, Y = e^x. In addition, suppose the standard deviation of household income is $6,000. Use this information to answer the following questions. Use Table 1. Compute the mean and the standard deviation of X. (Round your intermediate calculations and final answers to 4 decimal places.) What proportion of the people in the Bahamas have household income above the mean? (Round your intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Proportion What proportion of the people in the Bahamas have household income below $11,000? (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Proportion Compute the 75th percentile of the income distribution in the Bahamas. (Round your intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to the nearest whole number.) The 75th percentile