A traffic cop has been determined that (2 %) of drivers checked
to use their mobile phones and (8 %) of drivers checked do not wear
seat belts. In addition, it has been observed that the two
infractions are independent of 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.
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