You're a police officer pulling over every car at a checkpoint. You use a breathalyzer on everyone and pay no mind to other signs of sobriety. On a night like this, the chance that a given driver on this road has a blood alcohol content (BAC) over the limit is 10%. The probability of someone with a BAC over the limit testing positive is 96%; however, the probability of someone who doesn't have a BAC over the limit testing positive is 12%. If you pull someone over and they test positive, what's the probability that their BAC is over the limit? . Hints: To use the updating rule... Step 1: convert the prior probability to odds. (Note: the odds here are not 1 : 10!) Step 2: calculatet the strength factor. Step 3: multiply. Step 4: convert back to probability.

a 0% to 25%

b > 25% to 50%

c > 50% to 75%

d > 75% to 100%