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De Sacerdote Del Diablo A Ministro De Jesucristo Libro Pdf De Sacerdote Del Diablo A Ministro De Jesucristo Libro Pdf a copy of the copyright law is printed on every new book sold in the u s e, and paragraph 6 or a federal law, as the case may be. A federal law? 1 if the requested page is not on this site, you will be redirected. Free online library of US law the United States and its territories.Q:
One-dimensional random walk with one step bias
I came across a question where a one-dimensional random walk is biased in one step on the way.
This is described as having biased jump from $\left(n + \frac{1}{2} \right) a$ to $\left(n + \frac{3}{2} \right) a$ with probability $p$ and $\left(n + \frac{1}{2} \right) a$ to $\left(n + \frac{1}{2} \right) a$ with probability $q = 1 – p$ for $n = 0, 1, 2,…$.
Can you help me interpret this? I know that the probability of finding the particle at a given position $x$ at time $t$ is described by the well-known model which is given by $P(x, t) = \frac{1}{\sqrt{2\pi \sigma^2 t}}\exp\left(-\frac{(x-\mu t)^2}{2\sigma^2 t}\right)$.
The bias in that question is the change in the direction. A particle can either move to the left or right. For the former move, the probability of making a left step is $p$ and for the latter $q = 1 – p$. Can we describe this with the same equation as the one I just mentioned? How is this described then?
A:
Since, for a single step, the bias $p$ is the ratio of probabilities of the directions being chosen, the quantities $p$ and $q$ are related by:
$$
\begin{aligned}
q &= p + pq + p(1-p)q = 1 – \left(1 – p \right)p \tag{1}
\end{aligned}
$$
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