Answer: if you use math to slove that there will be an answer
Explanation:
This is a question that involves probability and statistics. To answer it, we need to use the concept of geometric distribution, which models the number of trials needed to get the first success in a sequence of independent Bernoulli trials, where each trial has a constant probability of success. In this case, a trial is pulling over a driver, and a success is finding a driver not using the turn signal. The probability of success is the complement of the probability of failure, which is 78%. Therefore, the probability of success is 1 - 0.78 = 0.22.
The geometric distribution has a probability mass function given by:
P(X=k)=(1−p)k−1p
where p is the probability of success and k is the number of trials. The expected value or mean of this distribution is given by:
E(X)=p1
Therefore, the expected number of drivers that the police officer should pull over until she finds a driver not using the turn signal is:
E(X)=0.221≈4.55
This means that on average, the police officer will need to pull over about 5 drivers to find one who is not using the turn signal. However, this is not a fixed number, as it depends on the randomness of the drivers’ behavior. The actual number of drivers that the police officer will pull over could be more or less than 5, but in the long run, the average will converge to 4.55.