The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed with mean 124 km/h and standard deviation 7 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? 2.28 % THER (b) If police are instructed to ticket motorists driving 130 km/h or more, what percentage of motorist are targeted? 19.49 X %

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
icon
Related questions
Question
The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed with mean 124 km/h and standard deviation 7 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?
2.28
%
(b) If police are instructed to ticket motorists driving 130 km/h or more, what percentage of motorist are targeted?
19.49
X %
Transcribed Image Text:The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed with mean 124 km/h and standard deviation 7 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? 2.28 % (b) If police are instructed to ticket motorists driving 130 km/h or more, what percentage of motorist are targeted? 19.49 X %
Expert Solution
Step 1

We can solve it by following method

Note: v ≈ x

In step 1: using( -z table) 

In step 2 : using( + z table) 

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill