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A traffic cop has been determined that (8 %) of drivers checked use their mobile phones...

A traffic cop has been determined that (8 %) of drivers checked use their mobile phones and (14 %) of drivers checked do not wear seat belts. In addition, it has been observed that the two infractions are independent from one another. If the cop stops seven drivers at random:

a. Calculate the probability that exactly five 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.

Math   Statistics-And-Probability   
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