# Question

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 car’s speed. Assume that the errors of these estimates are normally distributed with a mean of 0 and a standard deviation of 2 miles per hour.

a. The state police chief has directed his officers not to issue a speeding citation unless the aerial unit’s estimate of speed is at least 65 miles per hour. What is the probability that a car traveling at 60 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 traveling at 60 miles per hour or faster. What is the minimum estimate of speed at which a car should be cited for speeding?

a. The state police chief has directed his officers not to issue a speeding citation unless the aerial unit’s estimate of speed is at least 65 miles per hour. What is the probability that a car traveling at 60 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 traveling at 60 miles per hour or faster. What is the minimum estimate of speed at which a car should be cited for speeding?

## Answer to relevant Questions

Ashley knows that the time it takes her to commute to work is approximately normally distributed with a mean of 45 minutes and a standard deviation of 3 minutes. What time must she leave home in the morning so that she is ...In a National Highway Traffic Safety Administration (NHTSA) report, data provided to the NHTSA by Goodyear stated that the average tread life of properly inflated automobile tires is 45,000 miles. Suppose that the current ...Refer to Exercise 7.100. Assume that 73% of adults age 18 years and older are in favor of raising taxes on those with annual incomes of $1 million or more to help cut the federal deficit. A random sample of 900 American ...A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population of all people who ride this elevator have a mean weight of 160 pounds with a standard deviation of 25 pounds. If 35 of ...For a population, µ = 125 and σ = 36. a. For a sample selected from this population, and Find the sample size. µ = 125 and σ = 3.6 Assume n/N < .05. b. For a sample selected from this population, and Find the sample ...Post your question

0