Answer:
[tex]P=8.869[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\=x =38[/tex]
Variance [tex]\sigma=52[/tex]
Sample size [tex]n=16[/tex]
[tex]X=(33, 43)[/tex]
Generally the equation for Chebyshev's Rule is mathematically given by
[tex]A=(1-\frac{1}{k^2})*100\%[/tex]
Where
[tex]k=\frac{\=x-\mu}{\frac{\sigma}{\sqrt n}}}}[/tex]
[tex]k=\frac{43-38}{\frac{52}{\sqrt 16}}}}[/tex]
[tex]k=2.77[/tex]
Therefore
Probability
[tex]P=(1-\frac{1}{2.77^2})[/tex]
[tex]P=8.869[/tex]
