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Random Variables and Distributions
Normal distribution: Finding a probability, advanced
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Goran, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Goran models the boulders' weights using a normal distribution with a mean of 559 kg and a standard deviation of 150 kg .
Use this table or the ALEKS calculator to find the percentage of boulders that weigh less than 421 kg or more than 817 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example \( 98.23 \% \) ).
\( \square \)
\( \square \% \)