(c) The height of a door of the library of a certain local university is 1.830m. The heights of the students of the university are normally distributed with a mean of 1.730 m and standard deviation of 0.064 m. (i) Find the proportion of students that will be taller than the door frame. (ii) Find the height of a door frame such that one students in a thousand will be taller than the door frame height. (iii) It is known that the female students outnumber the male students in the ratio 6:4 in that university and the proportion of female students taller than the door frame is 0.0162. Find the proportion of students for whom a door frame of height 1.830 m would be too low.

(c) The height of a door of the library of a certain local university is 1.830m. The heights of the students of the university are normally distributed with a mean of 1.730 m and standard deviation of 0.064 m. (i) Find the proportion of students that will be taller than the door frame. (ii) Find the height of a door frame such that one students in a thousand will be taller than the door frame height. (iii) It is known that the female students outnumber the male students in the ratio 6:4 in that university and the proportion of female students taller than the door frame is 0.0162. Find the proportion of students for whom a door frame of height 1.830 m would be too low.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

I need the formula and step-by-step solution for this question. Don't apply the combinarion method to solve this question. Thanks

(c)
The height of a door of the library of a certain local university is 1.830m. The
heights of the students of the university are normally distributed with a mean of
1.730 m and standard deviation of 0.064 m.
(i)
Find the proportion of students that will be taller than the door frame.
(ii)
Find the height of a door frame such that one students in a thousand will
be taller than the door frame height.
(iii) It is known that the female students outnumber the male students in the
ratio 6:4 in that university and the proportion of female students taller than
the door frame is 0.0162.
Find the proportion of students for whom a door frame of height 1.830 m
would be too low.

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