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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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I need help with parts c and d

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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) 1200 student(s) (Round to the nearest whole number as needed.) (c) ☐ 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) 1200 student(s) (Round to the nearest whole number as needed.) (c) ☐ student(s) (Round to the nearest whole number as needed.)
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