question archive The level of a particular pollutant, nitrogen oxide, in the exhaust of a hypothetical model of car, the Polluter, when driven in city traffic has approximately a normal distribution with a mean level of 4
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The level of a particular pollutant, nitrogen oxide, in the exhaust of a hypothetical model of car, the Polluter, when driven in city traffic has approximately a normal distribution with a mean level of 4.0 grams per mile (g/m) and a standard deviation of 0.9g/m.
(a) If the EPA mandates that a nitrogen oxide level of 4.7 g/m cannot be exceeded, what proportion of Polluters would be in violation of the mandate? Round to 3 decimal places
(b) At most, 25% of Polluters exceed what nitrogen oxide level value (that is, find the75th percentile)? Round to 2 decimal places.