What is .25 written in the simplest fraction form

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

Random Weirdos Unite, 'm bored ._.

tresset_1 [31]

Answer:

Same here.

Step-by-step explanation:

I'm usually bored, that's why I mainly use this site.

:D

4 0

3 years ago

Read 2 more answers

The first step in beginning to control your time is

kotegsom [21]

B. DEVELOPING A TIME LOG is the first step in beginning to control you time.

A. A COMBINATION OF LETTERS AND NUMBERS password is used to ensure security.

Time log is basically you recording or logging the activities you have done in a certain time of a day. As you do this daily and check on the log for a few days, you will notice that you have done things that are either unimportant and time consuming, in short time was wasted.
Time log is very helpful especially is you are very busy. It will not only help you manage your tasks in any given time, it will also show you the things you can do in a shorter amount of time and allow you to schedule time for relaxation.

Passwords should be composed of a combination of letter and numbers. Other use special characters just to tighten password security. It is better that users create passwords that may form a special meaning to them so that they will not forget it regardless of length and combination.

7 0

3 years ago

Read 2 more answers

X is greater than or equal to -1 and less than or equal to 8

Sergeeva-Olga [200]

Answer:

Is their an equation that can be used a reference to find the sum/difference/product/quotient to this equation?

Step-by-step explanation:

4 0

2 years ago

9.) Find the following antiderivative

IrinaVladis [17]