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Answer :
Answer:
95 %
99.7 %
Explanation:
[tex]\mu[/tex] = 166 cm = Mean
[tex]\sigma[/tex] = 5 cm = Standard deviation
a) 156 cm and 176 cm
[tex]166-5\times 2=156[/tex]
[tex]166+5\times 2=176[/tex]
From the empirical rule 95% of all values are within 2 standard deviation of the mean, so about 95% of men are between 156 cm and 176 cm.
b) 151 cm and 181 cm
[tex]166-5\times 3 =151[/tex]
[tex]166+5\times 3=181[/tex]
The empirical rule tells us that about 99.7% of all values are within 3 standard deviations of the mean, so about 99.7% of men are between 151 cm and 181 cm.
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