MAT 243 - Applied Statistics for STEM 2.1.2: Random Variables PARTICIPATION ACTIVITY 1) ro w o o 2.1.2: Random variables. A radar gun records a car's speed. A sign displays the text SPEEDING or NOT SPEEDING. The text displayed is a random variable. O True @® False ) A survey asks a participant to indicate eye color. Possible responses are blue, brown, or green. Y is assigned 1 for blue, 2 for brown, and 3 for green. Y is a random variable. ® True O False ) A survey asks a participant to indicate age. Y is assigned the value of the response, which ranges from 1t0 120. Y is a random variable. @® True O False ) A person observes cars that drive past. Y is assigned the car’s manufacturer, which may be Ford, Chevy, Toyota, or Honda. Y is a random variable. O True @® False ) Some airports, like John Wayne Airport in California, measure noise levels when a plane flies over houses near the airport and fine airlines that exceed thresholds. Y is assigned 1 if a plane's measured sound exceeds 100 dB, and 0 otherwise. Y is a random variable. ® True O False ) A person wins $100 per dot on the roll of a die. Z is the amount won on a die roll. Z is a random variable. ® True O False Correct SPEEDING or NOT SPEEDING are outcomes of the experiment but are not numbers. Correct A random variable assigns a number to every cutcome of an experment. Y assigns a number to each eye color. Correct Sometimes the assignment is trivial, when the outcomes are already numbers. Correct Although Y is assigned a value, that value is not a number. A random variable must assign a2 number. Correct Sometimes the assignment translates outcome numbers nto other numbers. In this case, any sound value above 100 dB is translated to 1, and any sound value 100 dB or ess is translated to 0. Correct Z is a random variable since the amount won is a number, in this case one of the outcomes {$100, $200, $300, $400, $500, $600}. Feedback?
