3. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). The article examined data on forearm length, in inches, for a sample of 140 men. The mean and standard deviation of the forearm lengths are 18.8 in. and 1.12 in., respectively. a. Apply Chebyshev's rule with k= 2 to make pertinent statements about the forearm lengths of the men in the sample. b. Repeat part (a) with k = 3. %3D
3. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). The article examined data on forearm length, in inches, for a sample of 140 men. The mean and standard deviation of the forearm lengths are 18.8 in. and 1.12 in., respectively. a. Apply Chebyshev's rule with k= 2 to make pertinent statements about the forearm lengths of the men in the sample. b. Repeat part (a) with k = 3. %3D
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 solve exercise 3_3 a,b

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Exercise 3:
1. Recall the Chebyshev' rule.
Let X be a random variable with mean u and standard deviation o>0, then for any positive real number
k>0
P(x - | 2 ko) s#
or the equivalent
P(x - | < ha) > 1 -
2. Given the following data sets.
Data Set I
41
44
45
47
47
48
51
53
58
66
Data Set II 20
37
48
48
49
50
53 61
64
70
The sample mean and sample standard deviation are as follows:
Data Set I
Data Set II
i = 50.0
s = 14.2
i = 50.0
s = 7.4
a. Which data set has a larger variation? (justify your answer)
b. Is Chebyshev' rule vlerified for these two data sets. (Justify your answer graphically).
c. What can we conclude?
3. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I.
Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). The article examined data on
forearm length, in inches, for a sample of 140 men. The mean and standard deviation of the forearm
lengths are 18.8 in. and 1.12 in., respectively.
a. Apply Chebyshev's rule with k = 2 to make pertinent statements about the forearm lengths of
the men in the sample.
b. Repeat part (a) with k = 3.
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