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In: Statistics and Probability

11. Disney Monorail The Mark VI monorail used at Disney World has doors with a height...

11. Disney Monorail The Mark VI monorail used at Disney World has doors with a height of 72 in.
Heights of men are normally distributed with a mean of 68.6 in. and a standard deviation of
2.8 in.
(Source: based on Data Set 1 “Body Data” in Appendix B)
a. What percentage of adult men can fit through the doors without bending? Does the door design
with a height of 72 in. appear to be adequate? Explain.
b. What doorway height would allow 99% of adult men to fit without bending?

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