Question

Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean...

Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 68.3 mph and a standard deviation of 3.9 mph. Suppose you are a police officer on this stretch of road and only have time to ticket 1% of the cars that go by you. How fast should someone be traveling before you pull them over? Round your answer to 1 decimal place.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given,

= 68.3 , = 3.9

We convert this to standard normal as

P(X < x) = P(Z < x - / )

We have to calculate x such that,

P(X > x) = 0.01

P(X < x) = 0.99

P(Z < x - / ) = 0.99

From Z table, z-score for the probability of 0.99 is 2.3263

So,

x - / = 2.3263

x - 68.3 / 3.9 = 2.3263

Solve for x

x = 77.4

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean...
Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 69.3 mph and a standard deviation of 3.1 mph. Suppose you are a police officer on this stretch of road and only have time to ticket 2% of the cars that go by you. How fast should someone be traveling before you pull them over? Round your answer to 1 decimal place. mph
Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean...
Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 68.3 mph and a standard deviation of 3.5 mph. You are traveling at 75 mph. Approximately what percentage of cars are traveling faster than you? Enter your answer as a percentage with 1 decimal place. %
Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean...
Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 68.5 mph and a standard deviation of 3.5 mph. You are traveling at 75 mph. Approximately what percentage of cars are traveling faster than you? Enter your answer as a percentage with 1 decimal place
You are driving a car traveling on an interstate highway at 50 mph, and you pass...
You are driving a car traveling on an interstate highway at 50 mph, and you pass a police car. Four minutes later, you pass a second police car, and you are again traveling at 50 mph. The speed limit on the interstate is 60 mph. The distance between the two police cars is five miles. 1. You foolishly argue with the patrolman who is writing your speeding ticket, and he calls his brother who is currently taking Calculus and has...
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 67 mph. c. If one of the cars is randomly...
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 74 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly...
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. c. If one of the cars...
STEP BY STEP Suppose that the speed at which cars go on the freeway is normally...
STEP BY STEP Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 73 mph. c. If one of the...
A police officer in a helicopter is hovering 1110 feet directly over a straight stretch of...
A police officer in a helicopter is hovering 1110 feet directly over a straight stretch of I-5 where the speed limit is 70 miles per hour. A car passes below very quickly so the officer pulls out the radar gun. At the moment of using the radar the results show that the car is 1985 feet away from the helicopter, and it is moving away from the helicopter at 95 feet per second. The helicopter officer notifies the ground patrolman...
You are an investigator at the scene of a car crash. A Volvo of has hit...
You are an investigator at the scene of a car crash. A Volvo of has hit an Alpha Romeo from the side and the two are inter-tangled (stuck together). You can see that the Volvo was traveling due east on a concrete road with a 50 mph speed limit and made a 30.0 m long skid mark before reaching the intersection where it hit the Alpha Romeo which was driving due North on a concrete road with a 25 mph...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT