Stop a driver because the gun detects speeding

Assignment Help Basic Statistics
Reference no: EM131319638

The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 90% of the time; that is, there is a 0.90 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 96% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike.

a. What is the probability that the gun detects speeding and the driver was speeding? (Round your answer to 4 decimal places.)

Probability

b. What is the probability that the gun detects speeding and the driver was not speeding? (Round your answer to 4 decimal places.)

Probability

c. Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit? (Round your answer to 4 decimal places.)

Probability

Reference no: EM131319638

Questions Cloud

Differences in tese rates were probably caused primarily : Assume that interest rates on 20-year Treasury and corporate bonds are as follows: The differences in tese rates were probably caused primarily by
Analyzes how the messages within the digital media : create a presentation (using an application like PowerPoint) which interprets and analyzes how the messages within the digital media were used to guide decision-making.
What is the probability that the needle will cross a line : Buffon's needle. A needle of length a is thrown onto a plane covered with equally spaced parallel lines with separation
Trace the patterns of international migration : Trace the patterns of international migration since 1970, with reference to at least two examples. How do these differ from migration patterns of a century earlier
Stop a driver because the gun detects speeding : Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit? (Round your answer to 4 decimal places.)
What characteristics help define authoritarianism : "What characteristics help define authoritarianism? Discuss the experiences of Germany and Russia during the 1920s-1940s in order to illustrate interwar authoritarianism
What did you do immediately to fix the situation : The business continuity plan takes the disaster recovery plan one step further. This plan outlines how the business will continue its operations after the disaster. It also outlines how the business will continue its operations after smaller, less..
What are some of system integration challenges faced by ups : What are some of the system integration challenges faced by UPS? Discuss the systems integration solutions at UPS. How does it help UPS integrate new technologies? Discuss the advantages of systems integration for UPS customers.
What is the probability that christine fails the course : a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)

Reviews

Write a Review

Basic Statistics Questions & Answers

  What is the standard error of the difference in means

A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. She randomly sampled 100 girls and 100 boys in a community and gave them the standard memory test. What is the standard..

  Essay using narration as the chief method of development

Whether you use Microsoft Word or WordPerfect, save your document as .rtf (rich text format). Doing so ensures I will be able to open and read your document.

  Median sales price of new homes

The U.S.Census Bureau announced that the median sales price of new homes sold i April 2009 was $221,660, and the mean sales price waas $274,300. Assume that the standard deviation of the prices is $90,000.

  Confidence interval for mean gpa

The undergraduate grade point average (GPA) for students admitted to the top graduate business schools was 3.37 (Best Graduate Schools, U.S. News and World Report, 2001).

  Figure the means and standard deviations

a. Figure the means and standard deviations for the each group: governors and CEOs. b. Explain, to a person who has never had a course in statistics, what you have done.

  In a test of weld strength 80 of tests result in a fracture

in a test of weld strength 80 of tests result in a fracture in the weldwhile 20 result in fracture in the beam. let x

  Statistics problems and hypothesis testing

A political action committee decided to poll its membership to determine if they were in favor of a certain potential law, similar to gun control.

  Use a phase-lag compensator and attempt to achieve

For the system of Problem P10.30, use a phase-lag compensator and attempt to achieve a phase margin of approximately 50°. Determine the actual overshoot and peak time for the compensated system.

  What is the formula for the inclusive range

What is the formula for the exclusive range?

  Calculate the odds ratio associated with not using helmet

Compute and compare the proportions of head injury for the group with helmets versus the group without helmets. What would be your conclusion?

  Consider a roulette wheel with 18 red 18 black and 2 green

consider a roulette wheel with 18 red 18 black and 2 green spaces. if we only consider 1 spin the conditional

  Finding total cost-total revenue-and profit

For monthly volume of 300 tables, find out total cost, total revenue, and profit.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd