8. In some alcoholism tests it has been observed that 5% of the participating drivers give positive...
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8. In some alcoholism tests it has been observed that 5% of the participating drivers give positive in the alcohol test and that 10% of the drivers in the group do not wear the seat belt. Both offenses are independent. A traffic guard stops five random drivers. We will take into account that the number of conductors is significant enough that you estimate that the proportion of offenders does not vary by making the selection.
a) Determine the probability that exactly three drivers have committed any of both offenses.
b) Determine the probability that at least one of the drivers tested has committed either of the two offenses
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