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The heights of 500 students are normally distributed with a mean of 178.5 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 160.0 centimeters? (b) between 176.5 and 188.0 centimeters inclusive? (c) equal to 181.0 centimeters? (d) greater than or equal to 199.0 centimeters?

The heights of 500 students are normally distributed with a mean of 178.5 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 160.0 centimeters? (b) between 176.5 and 188.0 centimeters inclusive? (c) equal to 181.0 centimeters? (d) greater than or equal to 199.0 centimeters?

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
Section10.4: Distributions Of Data
Problem 19PFA
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The heights of 500 students are normally distributed with a mean of 178.5 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 160.0 centimeters? (b) between 176.5 and 188.0 centimeters inclusive? (c) equal to 181.0 centimeters? (d) greater than or equal to 199.0 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,
Transcribed Image Text:The heights of 500 students are normally distributed with a mean of 178.5 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 160.0 centimeters? (b) between 176.5 and 188.0 centimeters inclusive? (c) equal to 181.0 centimeters? (d) greater than or equal to 199.0 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,
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