Mathematics, 22.03.2021 17:50 alex1975

The amount of Nitrogen Oxide (NOX) present the exhaust of a particular type of car varies from car to car according to a Normal distribution with mean 1.4 grams/mile, and variance 0.09 grams/mile^2. Two randomly selected cars of this type are tested. One has 1.1 grams/mile of NOX, and the other has 1.9 grams/mile of NOX. The test station attendant finds this difference in emissions between two similar cars surprising. If the NOX levels for two randomly chosen cars of this type are independent, find the probability that the difference is at least as large as the value the attendant observes.

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