What is the probability that a motorcyclist was from from Northeast? Round to three decimal places. What is the probability that a motorcyclist was DOT-Compliant and from the West? Round to three decimal places. What is the probability that a motorcyclist was Noncompliant or from the South? Round to three decimal places. Given that a motorcyclist was DOT-Compliant, what is the probability that he/she was from the Northeast? Round to three decimal places.

The National Occupant Protection Use Survey (NOPUS) was conducted to provide data on motorcycle helmet use in the United States. The survey was conducted on motorcycle helmet use, including the number of motorcyclists wearing a Department of Transportation (DOT)-compliant helmet (National Highway Traffic Safety Administration website, January 7, 2010). Sample data are shown below. Use this contingency table to answer the questions that follow. Type of Helmet Region DOT-Compliant Noncompliant Total Northeast 96 62 158 Midwest 86 43 129 South 92 49 141 West 76 16 92 Total 350 170 520