# Probability of Speeding Cars

It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?

Place your answer, rounded to four decimal places.

© BrainMass Inc. brainmass.com June 4, 2020, 1:30 am ad1c9bdddfhttps://brainmass.com/statistics/probability/probability-question-example-speeding-cars-403986

#### Solution Preview

To answer this question, we would use the binomial distribution to calculate the probability. The binomial distribution says that the probability of k successes in n trials is (nCk)(p^k)(1-p)^(n-k).

n is the number of trials/observations, ...

#### Solution Summary

This solution provides the steps necessary to calculate a probability question using the binomial distribution.

$2.19