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A particle moves over the flat surface of a grid such that an equal unit of distance is measured with every step. The particle begins at the origin (0,0). The first step may be to the left, right, up or down, with equal probability ¼. The particle cannot move back in the direction that the previous step originated from. Each of the remaining three directions has an equal probability of 1/3. Suppose that the particle makes a total of n steps for a given value of n. Verify experimentally that the expected value of the distance between the particle's starting and ending points is approximately equal to 1.25 if n is sufficiently large. Also, for n = 25 and n = 100, find the probability that the maximal distance of the particle to its starting point during the n steps will exceed 1.65.
The distance (in miles) are as follows:32,18,44,29,25,38,14,21,and 12. Estimate the mean commute distance of all employees of the company.
the average height of college basketball players is 6 feet 4inchs with a standard deviation of 4 inchs. you take a
a researcher reports an f-ratio with df 3 36 from an independent-measures research study.a. how many treatment
The data below are from a study of lung cancer patients in Turkey (Yilmaz et al., 2000). Use these data to calculate the relative likelihood of being a smoker given that a person is female rather than male.
rocky mountain tire center sells 9000 go-cart tires per year. the ordering cost for each order is 40 and the holding
Formulate a payoff table that specifies the contribution to profit (in dollars) from the sale of the tennis shoes by this department store chain for each possible purchase decision.
(I) What does the slope of this line say about the relationship between price and number of carats? (II) What is the predicted price when number of carats =0? How would you interpret this price?
1. you are interested in testing the distance of two golf balls brand a and brand b. you take a random sample of 100
If there are 100 students in the class, how many of them are science majors?- If there are 100 students in the class, how many of them are science majors and seniors?
the quarterly return for a group of 50 mutual funds with mean of 2.8 amd standard deviation of 5.1--can be modeled by a
More twins 2004? As the table shows, the number of twins born in the United States has been increasing.
a. The mean number of years Americans work before retiring is 34.
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