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A particle moves in the plane according to a two-dimensional symmetric random walk (see p. 75). That is, the particle has a probability equal to 1/4 of moving from its current position, (Xn,Fn), to any of its four nearest a neighbors. We suppose that the particle is at the origin at time n = 0, so that XQ = YQ - 0. Thus, at time n = 1, the particle will be in one of the following states: (0,1), (0,-1), (1,0), or (-1,0). Let
be the square of the distance of the particle from the origin at time n. Calculate
decide whether the random variable x is discrete or continuous. x represents the total number of die rolls required for
(a) Determine the overshoot and rise time for Gp(s) = 1 and for p = 3. (b) Select an appropriate value for p that will give an overshoot of 1 % and compare the results.
consider a roulette wheel with 18 red 18 black and 2 green spaces. if we only consider 1 spin the conditional
Is there a significant difference between the lengths of front and rear legs of a certain breed of horses. The results of the measurements in inches made in 10 of these animals are:
When using SPSS to perform a 2 independent sample t-test, the P-Value was .136...with alpha set to .05. I have to decide to accept or reject the null hypothesis.
suppose the u.s. president wants an estimate of the proportion of the population who support his current policy toward
The average cost of a renting a compact size car in a major metropolitan area is R51.74 with a standard deviation of 7.48. Assume a normal distribution.
if np gt5 and nqgt5 estimate pmore than 5 with n13 and p0.7 by using the normal distribution if nplt5 or nqlt5 then
part 1shown below are the sales revenue and advertising cost data for seven companies published by international
the weekly income of night cashiers at a major department store follows the normal probability distribution. the
a sample of four tires is taken from alot of brand-a tires. another sample of four tires is taken from a lot of brand-b
How can you incorporate his uncertainty about the probabilities into your simulation? Now suppose he says that if he is optimistic about the success of one project, he is likely to be optimistic about the others as well. For your simulation, this m..
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