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Stochastic Processes-Random walk around the clock: Consider a Markov chain on S = {1,2,...,12} such that pij = 1/2 if i,j are adjacent hours on a clock, and pij = 0 otherwise.
Suppose that instead, for some p ?≠? 1/2, we have that pij = p (resp. pij = 1 ≠ p) if j is clockwise (resp. counter-clockwise) adjacent to i, and pij = 0 otherwise.
Find the expected number of visits to six o'clock, starting from six o'clock, before visiting twelve o'clock.
A side effect of a certain anesthetic used in surgery is the hiccups, which occurs in about 10 percent of the cases. If three patients are scheduled for surgery today and are to be administered this anesthetic, compute the probability that:
Determine the value of correlation coefficient between these 2 variables?
The Greenfield Service Company's marketing director is interested in analyzing the relationship between her company's sales and the advertising dollars spent. In the course of her analysis, she selected a random sample of 20 weeks and recorded..
Find an example of a survey routinely conducted by the U.S. government. (The Internet is a good source; for instance, try http://www.fedstats.gov.) Explain how the survey is conducted, and identify the type(s) of sampling used.
It is known that the average yearly consumption of soft drinks by college students nationwide is 50 gallons (µ = 50) with a standard deviation of 3.5 gallons (σ = 3.5).
In a shipment of 52 vials, only 12 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?
Find the Normalization constant, N, (b) the expectation value of the observables , (c) σo, and (d) the probability of finding the eigen value
Random sample of 40 male math professors are selected. What is the probability that the sample mean salary of male math professors will not exceed that of the female math professors?
Customer purchase package 2, 20% of their customers purchase package 3 and 25% of their customers purchase package 4. Find the expected value or average profit per customer.
If 25 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 44.24 tons. Assume that the variable is normally distributed.
A shipment of pins contains 25 good ones and 2 defective ones. At the receiving department, an inspector picks three pins at random and tests them.
Test the claim by random sampling 60 hgh school boys. Researcher found 54 boys have a cell phone at a = 0.01. Should the claim be rejected?
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