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A city is served by two newspapersthe 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 customers 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.
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
Find the linear correlation coefficient
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
Determine whether the following statement is true or false, and justify your answer: If the RMS error for predicting Y from X is equal to 1, then the correlation between Y and X is equal to 0.
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
Graph the function and answer the question using graph - What is the significance of the vertical asymptote (what does it mean in this context)?
Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true?
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