Problem 31BSC

Using Probability to Identify Unlikely Events. In Exercises, consider an event to be “unlikely” if its probability is less than or equal to 0.05. (This is equivalent to the same criterion commonly used in inferential statistics, but the value of 0.05 is not absolutely rigid, and other values such as 0.01 are sometimes used instead.)

Car Crashes In a recent year, among 135,933,000 registered passenger cars in the United States, there were 10,427,000 crashes. Find the probability that a randomly selected passenger car in the United States will crash this year. Is it unlikely for a car to crash in a given year? What does this suggest about driving?

Solution 31BSC

- The probability that a randomly selected passenger car in United States will crash this year is 0.0767.
- No, it is not unlikely that a randomly selected passenger car in United States will crash this year because the probability that a randomly selected passenger car in United States will crash this year is 0.0767 which is greater than 0.05.
- Since the probability of car crashes is high so we should drive carefully, should not drive after drink etc.