Sketch a drawing and use the standard normal distribution table to answer the following questions:   The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would you expect to have heights a. less than 150.0 centimeters? b. greater than or equal to 178.0 centimeters? c. greater than or equal to 178.0 centimeters? d. between 161.5 and 192.0 centimeters inclusive?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter19: Probability And Statistics In Engineering
Section: Chapter Questions
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Sketch a drawing and use the standard normal distribution table to answer the following questions:

 

The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would you expect to have heights

a. less than 150.0 centimeters?

b. greater than or equal to 178.0 centimeters?

c. greater than or equal to 178.0 centimeters?

d. between 161.5 and 192.0 centimeters inclusive?

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