The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.6 ppm and standard deviation 1.5 ppm. 39 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 8.6 1.5 b. What is the distribution of ? - N( 8.6 0.2402) o of c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm pollutants? 0.6554 d. For the 39 cities, find the probability that the average amount of pollutants is less than 9.2 ppm. 0.99379 e. For part d), is the assumption that the distribution is normal necessary? Yeso No f. Find the IQR for the average of 39 cities. Q1 = | 8.4392 X ppm Q3 = | 8.7603 X ppm IQR: 0.3216 X ppm

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.