The vehicle speeds on a city street have been determined to be normally distributed with a mean of 33.2 mph and a variance of 16.Based on this information,the probability that if three randomly selected vehicles are monitored and that two of the three will exceed the 35 mph speed limit is slightly greater than 0.18.

Question

Quizplus · Accepted Answer

To solve this problem, we need to use the binomial distribution because we are looking for the probability of a certain number of successes (in this case, the number of vehicles exceeding the speed limit) in a fixed number of trials (in this case, three). However, the information given only allows us to determine the probability of a single vehicle exceeding the speed limit, not the probability of two out of three vehicles doing so. Therefore, we cannot calculate the desired probability and the statement is false.

The Vehicle Speeds on a City Street Have Been Determined