UCSD ECE 250 Handout
نویسنده
چکیده
2. Polya’s urn. Suppose we have an urn containing one red ball and one blue ball. We draw a ball at random from the urn. If it is red, we put the drawn ball plus another red ball into the urn. If it is blue, we put the drawn ball plus another blue ball into the urn. We then repeat this process. At the n-th stage, we draw a ball at random from the urn with n+1 balls, note its color, and put the drawn ball plus another ball of the same color into the urn.
منابع مشابه
UCSD ECE 250 Handout # 18
(a) Find P{X10 = 10}. (b) Approximate P{−10 ≤ X100 ≤ 10} using the central limit theorem. (c) Find P{Xn = k}. 2. Absolute-value random walk. Consider the symmetric random walk Xn in the previous problem. Define the absolute value random process Yn = |Xn|. (a) Find P{Yn = k}. (b) Find P{max1≤i<20 Yi = 10 |Y20 = 0}. 3. A random process. Let Xn = Zn−1 + Zn for n ≥ 1, where Z0, Z1, Z2, . . . are i....
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