NORMAL DISTRIBUTION A radar unit is used to measure speeds of cars on a highway. The speeds are normally distributed with a mean of 75 mph and a standard deviation of 10.5 mph.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
NORMAL DISTRIBUTION
A radar unit is used to measure speeds of cars on a highway.
The speeds are normally distributed with a mean of 75 mph
and a standard deviation of 10.5 mph.
Suppose that a driver will get a ticket for reckless driving if
they are more than 1.95 standard deviations over the
average speed of 75 mph.
Based on this information, a driver will receive a reckless
driving ticket if they are caught driving at a speed that
exceeds
. To answer this question, you
must find the X associated with a Z-score of 1.95. Round this
value to the 1000ths place. You must show your work to
receive credit.
What is the probability that a driver will get a ticket for
reckless driving? Do not round the probability value.
Transcribed Image Text:NORMAL DISTRIBUTION A radar unit is used to measure speeds of cars on a highway. The speeds are normally distributed with a mean of 75 mph and a standard deviation of 10.5 mph. Suppose that a driver will get a ticket for reckless driving if they are more than 1.95 standard deviations over the average speed of 75 mph. Based on this information, a driver will receive a reckless driving ticket if they are caught driving at a speed that exceeds . To answer this question, you must find the X associated with a Z-score of 1.95. Round this value to the 1000ths place. You must show your work to receive credit. What is the probability that a driver will get a ticket for reckless driving? Do not round the probability value.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman