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shusha [124]
3 years ago
9

Can someone help me with this?

Mathematics
1 answer:
garri49 [273]3 years ago
4 0
The answer going to be -4
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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

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

so that the variance for the length such a string is

\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.

5 0
2 years ago
Siri is grocery shopping. She is buying macaroni. One box is 6 inches long, 1 inch wide and 9
sashaice [31]

Answer:

The second box  

Step-by-step explanation:

The volume of a pyramid can be given by the formula:  V=31​Ah. Where.  A:  Area of the V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

I hope this helps! (:

4 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (4, -1) and<br> (-8, –7)?
Andreas93 [3]

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

5 0
2 years ago
Is (-3,4) a solution of the inequality y&gt; - 2x – 3?
jeyben [28]

Answer:

  (-3, 4) is a solution

Step-by-step explanation:

The point (-3, 4) is inside the shaded area of the graph, so is a solution.

You can check in the inequality

  y > -2x -3

  4 > -2(-3) -3 . . . . substitute for x and y

  4 > 3 . . . . . . . true; the given point is a solution

8 0
3 years ago
Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha
soldi70 [24.7K]

Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

4 0
3 years ago
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