View the step-by-step solution to:

Men's heights are normally distributed with mean 68.9 in and standard deviation of 2. Women's heights are normally distributed with mean 63.7 in and...

Men's heights are normally distributed with mean 68.9


68.9 in and standard deviation of 2.8 in.


2.8 in. ​Women's heights are normally distributed with mean 63.7


63.7 in and standard deviation of 2.5


2.5 in. The standard doorway height is 80


80 in. a. What percentage of men are too tall to fit through a standard doorway without​ bending, and what percentage of women are too tall to fit through a standard doorway without​ bending? b. If a statistician designs a house so that all of the doorways have heights that are sufficient for all men except the tallest​ 5%, what doorway height would be​ used?

Top Answer

the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2 standard normal distribution is a normal distribution... View the full answer

Sign up to view the full answer

Other Answers

(a) 0.0037% of men are too tall to fit through a standard doorway... View the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online