The height of 1000 students are normally distributed with a mean of 170.5 centimeters and a standard deviation of 10.5 centimeters. Assuming that the heights are recorded to the nearest half- centimeter, how many of these students would you expect to have heights. a. equal to 125.0 centimeters? b. between 161.5 and 192.0 centimeters inclusive? c. greater than or equal to 178.0 centimeters?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The height of 1000 students are normally distributed with a mean of 170.5 centimeters and a
standard deviation of 10.5 centimeters. Assuming that the heights are recorded to the nearest half-
centimeter, how many of these students would you expect to have heights.
a. equal to 125.0 centimeters?
b. between 161.5 and 192.0 centimeters inclusive?
c. greater than or equal to 178.0 centimeters?
d. less than 150.0 centimeters?
Transcribed Image Text:The height of 1000 students are normally distributed with a mean of 170.5 centimeters and a standard deviation of 10.5 centimeters. Assuming that the heights are recorded to the nearest half- centimeter, how many of these students would you expect to have heights. a. equal to 125.0 centimeters? b. between 161.5 and 192.0 centimeters inclusive? c. greater than or equal to 178.0 centimeters? d. less than 150.0 centimeters?
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