Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmostphere for June 2018 was 410.79 parts per million (ppm). Suppose 40 atmostpheric samples were selected at random in July 2018 and the standard deviation for CO2 in the atmosphere was found to be ?=20 ppm.
a) Find the probability that the sample mean CO2 level is less than 405 ppm. Give your answer to four decimal places.
b) Find the probability that the sample mean CO2 level is between 408 and 415. Give your answer to four decimal places.
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