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?

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

(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