NORMAL DISTRIBUTION 1) The heights of students at a local university are normally distributed with a mean of 168cm and a standard deviation of 8cm. One of these students is chosen at random. a) Find the probability that the height of the student is: i) less than 172cm ii) between 160cm and 170cm b) Given that 30% of all these students have heights less than Hcm, find the value of H, correct to one decimal place.

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
1) The heights of students at a local university are normally distributed with a mean of
168cm and a standard deviation of 8cm. One of these students is chosen at random.
a) Find the probability that the height of the student is:
i) less than 172cm
ii) between 160cm and 170cm
b) Given that 30% of all these students have heights less than Hcm, find the value of
H, correct to one decimal place.
2) The speeds of vehicles passing a point on the roadside of a highway are normally
distributed with a mean of 102 km/h and a standard deviation of 15 km/h.
a) Find the probability that the speed of a vehicle, selected at random:
i) is less than 75 km/h
ii) lies between 78 km/h and 114 km/h
b) The number of vehicles passing in one hour is 245. Estimate the number of those
which exceeds the speed limit of 120 km/h.
Transcribed Image Text:NORMAL DISTRIBUTION 1) The heights of students at a local university are normally distributed with a mean of 168cm and a standard deviation of 8cm. One of these students is chosen at random. a) Find the probability that the height of the student is: i) less than 172cm ii) between 160cm and 170cm b) Given that 30% of all these students have heights less than Hcm, find the value of H, correct to one decimal place. 2) The speeds of vehicles passing a point on the roadside of a highway are normally distributed with a mean of 102 km/h and a standard deviation of 15 km/h. a) Find the probability that the speed of a vehicle, selected at random: i) is less than 75 km/h ii) lies between 78 km/h and 114 km/h b) The number of vehicles passing in one hour is 245. Estimate the number of those which exceeds the speed limit of 120 km/h.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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