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A city is served by two newspapers-the Tribune and the Daily News. Each Sunday reader purchases one of the newspapers at a stand. The following transition matrix contains the probabilities of a customer's buying a particular newspaper in a week, given the newspaper purchased the previous Sunday:
This Sunday Next SundayTribune Daily NewsTribune .65 .35Daily News .45 .55
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
According to statistics the distribution of ages for licensed drivers has a mean of 44.5 years and a standard deviation of 18.7 years. Assuming the distribution of ages is normally distributed, what percentage of the drivers are the following.
Given the curve y = the square root of 16-x^2, -2≤x≤2. Find the volume of the solid generated when y is revolved about the x axis.
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
using eight planning periods of three months duration each. Should any of the variables restricted to be integer?
the standard deviation of age of passenger train cars is 2 yrs. if the distribution of ages is normal and 10% of the cars are older than 10 years, find the average age.
Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls.
a 25 year old can purchase a one year life insurance policy for 10000 at a cost of 100 past history indicates that the probability of a person dying at age 25 is 0.0015 determine the companys expected gain per policy?
A volcano fills the volume between the graphs z=0 and z=1(x2+y2)10, and outside the cylinder x2+y2=1. Find the volume of this volcano.
89 students found that 22% were in favor of raising tution to build a new math building. The standard deviation of this poll is 7%. What would be the standard deviation if the sample size were increased from 89 to 189?
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