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Answer:
The probability that the three drivers would wear seat belts is 0.5
Step-by-step explanation:
Given
Percentage of drivers using seat belt = 80%
Number of drivers pulled over = 3
Required
Probability that all three drivers wore seat belt
First, the probability that a driver would wear seat belt has to be calculated.
Let's represent that with P(D)
P(D) is equivalent to the percentage of drivers using seat belt
%
Let the probability that the three drivers would wear seat belts be represented as P(All).
P(All) is calculated as thus;
<em>(Probability that the first driver would wear seat belt) and (Probability that the second driver would wear seat belt) and (Probability that the first driver would wear seat belt).</em>
<em></em>
<em>Mathematically, this means</em>
Substitute
--- Approximated
Hence, the probability that the three drivers would wear seat belts is 0.5