4. A particle performs a random walk on the vertices of a cube. At each step it remains where it iswith probability, or moves to one of its neighbouring vertices each having probability 1. Let v andw be two diametrically opposite vertices. If the walk starts at v, find:(a) the mean number of steps until its first return to v,(b) the mean number of steps until its first visit to w,(c) the mean number of visits to w before its first return to v.

Answered: Image /qna-images/answer/c3265bf6-2132-4fcf-a584-e217a9daa9af.jpg

Answered: 4. A particle performs a random walk on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. A consumer agency wanted to find out of the mean time taken by each of three brands of medicines to provide relief from a headache is the same. The first drug was administered to six randomly selected patients, the second to four randomly selected patients, and the third to five randomly selected patients. The following table gives the time (in minutes) taken by each patient to get relief from a headache after taking the medicine. Drug I 25 38 42 65 47 52 Drug II 15 21 19 25 Drug III 44 39 54 58 73 At a 2.5 % significance level, will you conclude that the mean time taken to provide relief from a headache is the same for each of the three drugs? Use the Critical Value Approach
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 26 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 26 births. The value of the mean is μ = (Type an integer or a decimal. Do not round.). The value of the standard deviation is o= 0 (Round to one decimal place as needed) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. tion Viewer (Round to one decimal place as needed.) Values of airls or areater are significantly high.
Express the alternative hypothesis in symbolic form. A psychologist claims that the mean amount of time (in hours) that females spend in talk therapy is more than that of men. Assume that two samples are independent. Let the female talk therapy times be the first population and the male talk therapy times be the second population.
use. Do a conclusion about thiS 20.5 "reference" drugs that they imitate. One aspect in which ance times (second received the generic drug first, followed by the reference signed at random to the subjects. Subjects 1 through 10 matched pairs design. Numbers 1 through 20 were as- TABLE 20.5 Absorption extent for two drug first, followed by the generic drug. In all 20.50 Comparing two drugs. Makers of generic drugs must ght-hand and left. reads chow that they do not differ significantly from the Astep "reference" drugs that they imitate. One aspect in which Arugs might differ is their extent of absorption in the klood. Table 20.5 gives data taken from 20 healthy non- smoking male subjects tor one pair of drugs." This is a matched pairs design. Numbers 1 through 20 were as- signed at random to the subjects. Subjects 1 through 10 20. Subject Thread Th Right drug. Subjects 11 through 20 received the reference drug first, followed by the generic drug. In all cases, a washout period separated…

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