It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked don't wear seat belts. In addition, it has been observed that two infractions are independent from one another. If an officer stops five drivers at random, then the probability that exactly two of the drivers have committed any of the two offenses is:

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Chapter1: Combinatorial Analysis
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It has been determined that 5% of drivers checked at a road stop show traces of alcohol
and 10% of drivers checked don't wear seat belts. In addition, it has been observed that
two infractions are independent from one another. If an officer stops five drivers at
random, then the probability that exactly two of the drivers have committed any of the
two offenses is:
0.5430
0.1314
0.0223
O 0.0232
Question *
Consider two continuous random variables X and Y with marginal distributions g(x) and
h(y)respectively and the joint density function given by:
2e-e-2y
x > 0, y > 0
f(xy) =
elsewhere.
Then:
f(x,y)=g(x)h(y)
Transcribed Image Text:Question * It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked don't wear seat belts. In addition, it has been observed that two infractions are independent from one another. If an officer stops five drivers at random, then the probability that exactly two of the drivers have committed any of the two offenses is: 0.5430 0.1314 0.0223 O 0.0232 Question * Consider two continuous random variables X and Y with marginal distributions g(x) and h(y)respectively and the joint density function given by: 2e-e-2y x > 0, y > 0 f(xy) = elsewhere. Then: f(x,y)=g(x)h(y)
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