Police estimate that 25% of drivers drive without their seat belts.If they stop 4 drivers at random,find the probability that all of them are wearing their seat belts.
A)0.1
B)0.3164
C)0.3
D)0.75
E)0.0039

Question

Quizplus · Accepted Answer

The probability that a driver is wearing their seat belt is 1 - 0.25 = 0.75. Since each stop is independent, the probability that all four drivers are wearing their seat belts is:

P(all drivers wearing seat belts) = 0.75 x 0.75 x 0.75 x 0.75
= 0.3164 (rounded to four decimal places)

Therefore, the best choice is B.

Police Estimate That 25% of Drivers Drive Without Their Seat