# Bayes Theorem: Speeding Problem

The probability that a teenage driver will speed is 0.8; for a twenty-something driver, the probability of speeding is 0.5; for a mature driver, 0.2. Suppose that 15% of drivers are teenagers, 20% are in their twenties, and the rest are mature. If a driver observed at random is found to be speeding, then what is the probability that this driver is a teenager?

© BrainMass Inc. brainmass.com June 4, 2020, 2:03 am ad1c9bdddfhttps://brainmass.com/math/probability/bayes-theorem-speeding-problem-435176

#### Solution Preview

Probability - speeding problem

The probability that a teenage driver will speed is 0.8; for a twenty-something driver, the probability of speeding is 0.5; for a mature driver, 0.2. Suppose that ...

#### Solution Summary

The solution provides step by step method for the calculation of probability using Bayes Theorem. Formula for the calculation and Interpretations of the results are also included.

$2.19