Question

( PLEASE TYPE THE STEPS IF THAT'S POSSIBLE ) Suppose vehicle speeds at a highway location...

( PLEASE TYPE THE STEPS IF THAT'S POSSIBLE )

Suppose vehicle speeds at a highway location have a normal distribution with mean of 65 mph and standard deviation of 5 mph.

  1. What is the probability that a randomly selected vehicle speed is greater than 73 mph?
  2. Calculate the 60th percentile of the vehicle speed?
  3. Using the same standard deviation 5 mph, find the mean speed of all vehicles if the probability that the speed is greater than 73 mph is only 0.015?
  4. What is the probability that the mean speed 16 randomly selected vehicles is between 61 and 68 mph?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A traffic study conducted on an interstate highway shows that vehicle speeds (in mph) are normally...
A traffic study conducted on an interstate highway shows that vehicle speeds (in mph) are normally distributed with a mean of 61.3 and a standard deviation of 3.3.     a) Sketch the distribution of vehicle speeds. Show 3 steps of standard deviation above and below the mean.     b) If a vehicle is randomly checked, what is the probability that its speed is greater than 70? Include a sketch.     c) If 5 vehicles are randomly sampled, what is the...
A traffic study conducted on an interstate highway shows that vehicle speeds (in mph) are normally...
A traffic study conducted on an interstate highway shows that vehicle speeds (in mph) are normally distributed with a mean of 61.3 and a standard deviation of 3.3.     a) Sketch the distribution of vehicle speeds. Show 3 steps of standard deviation above and below the mean.     b) If a vehicle is randomly checked, what is the probability that its speed is greater than 70? Include a sketch.     c) If 5 vehicles are randomly sampled, what is the...
Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with a mean...
Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with a mean of 36, 6mph and a standard deviation of 1.7 mph, what is the probability that out of 3 vehicles a randomly selected vehicle uses a speed of between 35mph and 40mph,
6. Suppose that speeds of vehicles on a particular stretch of roadway have mean 36.6 mph...
6. Suppose that speeds of vehicles on a particular stretch of roadway have mean 36.6 mph and standard deviation 1.7 mph. Find the probability that mean speed of 36 randomly selected vehicles is between 35 and 40.
The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with...
The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with mean 102 km/h and standard deviation 10 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed? (b) If police are instructed to ticket motorists driving 110 km/h or more, what percentage of motorist are targeted?
The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with...
The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with mean 101 km/h and standard deviation 6 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed? (b) If police are instructed to ticket motorists driving 115 km/h or more, what percentage of motorist are targeted?
Speeding on the I-5. Suppose the distribution of passenger vehicle speeds traveling on the Interstate 5...
Speeding on the I-5. Suppose the distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72 miles/hour and a standard deviation of 5.25 miles/hour. Round all answers to four decimal places. 1. What proportion of passenger vehicles travel slower than 61 miles/hour? 2. What proportion of passenger vehicles travel between 76 and 82 miles/hour? 3. How fast do the fastest 18% of passenger vehicles travel?   4. Suppose the...
Assume the speed of vehicles along an open stretch of a certain highway in Texas that...
Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with a mean of 71 mph and a standard deviation of 3.125 mph. The current posted speed limit is 65 mph. What is the proportion of vehicles going above the current posted speed limit? What proportion of the vehicles would be going less than 50 mph? What proportion of the vehicles would be going between...
A police officer is concerned about speeds on a certain section of Interstate 95. The data...
A police officer is concerned about speeds on a certain section of Interstate 95. The data accompanying this exercise show the speeds of 40 cars on a Saturday afternoon. Highway Speed: 73 68 67 74 74 70 68 73 65 69 67 63 66 64 67 65 70 64 63 61 62 63 63 66 64 62 65 62 70 62 66 64 67 61 69 66 61 70 65 61 a. The speed limit on this portion of Interstate...
Thank you in advance! The District of Columbia Police Department are gathering highway speed data along...
Thank you in advance! The District of Columbia Police Department are gathering highway speed data along a section of the Capital Beltway to determine if the current speed limit is being followed. A radar speed detection device is used to measure the speeds of cars on the expressway. The speeds are normally distributed. The speed gun captures the speed of 6 vehicles as 80mph, 70mph, 100mph, 70mph, 80mph and 80mph. What is the mean of the speeds on the expressway...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT