Explore BrainMass

Explore BrainMass

    Normal distributions: Probabilities and percentiles

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    The highway police in a certain state are using aerial surveillance to control speeding on a highway with a posted speed limit of 55 miles per hour. Police officers watch cars from helicopters above a straight segment of this highway that has large marks painted on the pavement at 1-mile intervals. After the police officers observe how long a car takes to cover the mile, a computer estimates that cars speed. Assume that the errors of these estimates are normally distributed with a mean of 0 and a standard deviation of 3.41 miles per hour.

    a. The state police chief has directed his officers not to issue a speeding citation unless the aerial units estimate of speed is at least 66 miles per hour. What is the probability that a car travelling at 58 miles per hour or slower will be cited for speeding?

    b. Suppose the chief does not want his officers to cite a car for speeding unless they are 99% sure that it is travelling at 58 miles per hour or faster. What is the minimum estimate of speed at which a car should be cited for speeding?

    © BrainMass Inc. brainmass.com June 3, 2020, 11:26 pm ad1c9bdddf
    https://brainmass.com/statistics/normal-distribution/normal-distributions-probabilities-and-percentiles-279604

    Solution Summary

    This solution shows how to calculate probabilities and find percentiles of a normal distribution

    $2.19

    ADVERTISEMENT