The heights of 2000 students are normally distributed with a mean of 166.5 centimeters and a standard deviation of 7.7 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 148.0 centimeters? (b) between 163.5 and 178.0 centimeters inclusive? (c) equal to 167.0 centimeters? (d) greater than or equal to 186.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) 16 student(s) (Round to the nearest whole number as needed.) (b) student(s) (Round to the nearest whole number as needed.)

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

I need help with parts b,c , and d

The heights of 2000 students are normally distributed with a mean of 166.5 centimeters and a standard deviation of
7.7 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students
would be expected to have heights
(a) less than 148.0 centimeters?
(b) between 163.5 and 178.0 centimeters inclusive?
(c) equal to 167.0 centimeters?
(d) greater than or equal to 186.0 centimeters?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) 16 student(s)
(Round to the nearest whole number as needed.)
(b) ☐ student(s)
(Round to the nearest whole number as needed.)
Transcribed Image Text:The heights of 2000 students are normally distributed with a mean of 166.5 centimeters and a standard deviation of 7.7 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 148.0 centimeters? (b) between 163.5 and 178.0 centimeters inclusive? (c) equal to 167.0 centimeters? (d) greater than or equal to 186.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) 16 student(s) (Round to the nearest whole number as needed.) (b) ☐ student(s) (Round to the nearest whole number as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 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