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scoray [572]
4 years ago
13

Someone pls help me with 7 and 8, thank you so much!!

Mathematics
1 answer:
Sergio [31]4 years ago
4 0
7. A. -18 cm, because it changes -3 cm/per year, so multiply 6 years by -3 cm to get -18 cm

8. D. $20, because it rose +$2 over 10 days, you multiply 10 days by $2 to get $20 total
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\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

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By definition of variance, we have

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For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

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\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859

"squared" bits per encoded letter. For a string of length n, we would get \mathrm{Var}[L]=1.859n.

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