25. Forearm Length. In 1903, K. Pearson and A. Lee published a paper entitled "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). From infor- mation presented in that paper, forearm length of men, measured from the elbow to the middle fingertip, is (roughly) normally distributed with a mean of 18.8 inches and a standard deviation of 1.1 inches. Let x denote forearm length, in inches, for men. a. Sketch the distribution of the variable x. b. Obtain the standardized version, z, of x. c. Identify and sketch the distribution of z. d. The area under the normal curve with parameters 18.8 and 1.1 that lies between 17 and 20 is 0.8115. Determine the probabil- ity that a randomly selected man will have a forearm length be- tween 17 inches and 20 inches. e. The percentage of men who have forearm length less than 16 inches equals the area under the standard normal curve that lies to the of
25. Forearm Length. In 1903, K. Pearson and A. Lee published a paper entitled "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). From infor- mation presented in that paper, forearm length of men, measured from the elbow to the middle fingertip, is (roughly) normally distributed with a mean of 18.8 inches and a standard deviation of 1.1 inches. Let x denote forearm length, in inches, for men. a. Sketch the distribution of the variable x. b. Obtain the standardized version, z, of x. c. Identify and sketch the distribution of z. d. The area under the normal curve with parameters 18.8 and 1.1 that lies between 17 and 20 is 0.8115. Determine the probabil- ity that a randomly selected man will have a forearm length be- tween 17 inches and 20 inches. e. The percentage of men who have forearm length less than 16 inches equals the area under the standard normal curve that lies to the of
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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Could you please answer letters d and e? Thank you.
Transcribed Image Text:25. Forearm Length. In 1903, K. Pearson and A. Lee published a
paper entitled "On the Laws of Inheritance in Man. I. Inheritance of
Physical Characters" (Biometrika, Vol. 2, pp. 357-462). From infor-
mation presented in that paper, forearm length of men, measured from
the elbow to the middle fingertip, is (roughly) normally distributed
with a mean of 18.8 inches and a standard deviation of 1.1 inches.
Let x denote forearm length, in inches, for men.
a. Sketch the distribution of the variable x.
b. Obtain the standardized version, z, of x.
c. Identify and sketch the distribution of z.
d. The area under the normal curve with parameters 18.8 and 1.1
that lies between 17 and 20 is 0.8115. Determine the probabil-
ity that a randomly selected man will have a forearm length be-
tween 17 inches and 20 inches.
e. The percentage of men who have forearm length less than
16 inches equals the area under the standard normal curve that
lies to the
of
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