What is the probability that the gun detects speeding

Assignment Help Management Theories

Reference no: EM131460284

Question: 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 98% of the time; that is, there is a 0.98 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 95% 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?

b. What is the probability that the gun detects speeding and the driver was not speeding?

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?

Reference no: EM131460284

Questions Cloud

What is posterior probability that company will experience : An analyst expects that 20% of all publicly traded companies will experience a decline in earnings next year. The analyst has developed a ratio to help forecast

Will the company be able to pay its debts as they come due : Will the company be able to pay its debts as they come due? Which of the following activities involves collecting the necessary funds to support the business?

Today at an interest rate : If you invest $15,356 today at an interest rate of 7.16 percent, compounded daily, how much money will you have in your savings account in 16 years?

Inventory conversion period : QUESTION 1: Using this information, how many days were in the Inventory Conversion Period in 2015?

What is the probability that the gun detects speeding : 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.

Mitigate against foreign exchange rate : Advise your client of three ways in which he can mitigate against foreign exchange rate

What is the probability that the lakers will win the game : A crucial game of the Los Angeles Lakers basketball team depends on the health of their key player. According to his doctor's report, there is a 40% chance.

Analyze how many shares of common stock are outstanding : How many shares of common stock are outstanding? Assuming there is a stated value, what is the stated value of the common stock?

Find the present value of these cash flows : Your account pays you 11.45 percent per year, compounded annually. To answer this question, you have to find the present value of these cash flows.

User Account

All Pages