Question

It has been determined that 5% of drivers checked at a road stop show traces of...

It has been determined that 5% of drivers checked at a road stop show traces of alcohol
and 10% of drivers checked do not wear seat belts. In addition, it has been observed that

the two infractions are independent from one another. If an officer stops five drivers at
random:  

a) Calculate the probability that exactly three of the drivers have committed any one
of the two offenses.

b) Calculate the probability that at least one of the drivers checked has committed at
least one of the two offenses.

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