A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 70 miles per hour and a standard deviation of 10. Use this information to answer questions 5-11. 5) Based on the empirical rule, 68% of the data will fall within what interval? 6) Based on the empirical rule, 95% of the data will fall within what interval? 7) Based on the empirical rule, 99.7% of the data will fall within what interval? 8) What percentage of cars will be driving at a speed of 80 miles per hour or faster? 9) What is the probability that a randomly selected car will be driving at a speed less than 55 miles per hour? 10) What proportion of cars are driving between 75 and 85 miles per hour? 11) How fast are the top 5% of cars driving?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
icon
Related questions
Question

Need answers to questions 8-11. 

A radar unit is used to measure speeds of cars on a motorway. The speeds are normally
distributed with a mean of 70 miles per hour and a standard deviation of 10. Use this information
to answer questions 5-11.
5) Based on the empirical rule, 68% of the data will fall within what interval?
6) Based on the empirical rule, 95% of the data will fall within what interval?
7) Based on the empirical rule, 99.7% of the data will fall within what interval?
8) What percentage of cars will be driving at a speed of 80 miles per hour or faster?
9) What is the probability that a randomly selected car will be driving at a speed less than 55
miles per hour?
10) What proportion of cars are driving between 75 and 85 miles per hour?
11) How fast are the top 5% of cars driving?
Transcribed Image Text:A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 70 miles per hour and a standard deviation of 10. Use this information to answer questions 5-11. 5) Based on the empirical rule, 68% of the data will fall within what interval? 6) Based on the empirical rule, 95% of the data will fall within what interval? 7) Based on the empirical rule, 99.7% of the data will fall within what interval? 8) What percentage of cars will be driving at a speed of 80 miles per hour or faster? 9) What is the probability that a randomly selected car will be driving at a speed less than 55 miles per hour? 10) What proportion of cars are driving between 75 and 85 miles per hour? 11) How fast are the top 5% of cars driving?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

 What proportion of cars are driving between 75 and 85 miles per hour?

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill