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Let A be the same set as in given Exercise. Show that the following relation is an equivalence relation:
(m1,n1)p(m2,n2) if m1+n2 = n1+m2. Draw the equivalemce class of (1,2).
Exercise Let A = J+ X J+, where J+ is the set of positive integers. Define a relation in A as follows: If (m1,n1) and (m2,n2) are elements in A, then (m1,n1) if m1,n2 = n1,m2. Show that is an equivalence relation and describe its equivalence classes.
Let n be number of documents in (millions) labeled as classified in year that is t years since 2000. Determine the equation of linear model to explain the data.
A linear regression between Y and X produced the following equation for the least squares line:
Suppose the score of architects on a partecular creativity test are normally distributed. What percetage of architects have a Z scores (A) above .10.
What reasons for complaints do you think the hotel should focus on if it wants to reduce the number of complaints? Describe.
De?ne a four-state continuous-time Markov chain that jointly describes the condition of the two machines. Use the assumed independence to compute the transition probabilities for this chain and then verify that these transition probabilities satis..
the applet below simulates sampling from an urn containing n balls. the total number of balls in the urn the number of
A human society claims that less than 31% of U.S. households own a dog. In a random sample of 392 U.S. households, 155 say they own a dog. At a=0.03, is there enough evidence to support the society's claim?
what foods do aeronautical engineers like? there were three types of food and the researcher recorded which foods were
the route used by a certain motorist in commuting to work contains two intersections with traffic signals. the
Calculate the p- value and use it to test H0 versus H a at each of a .10, .05, .01, and .001. d How much evidence is there that the mean composite satisfaction rating exceeds 42?
Compute an estimate of the standard deviation of y when x = 8. Develop a 95% confidence interval for the expected value of y when x= 8.
An investor invests in 40% of his money in stock A and 60% of his money in stock B, what is his portfolio's expected return? What is his portfolio's variance and standard deviation?
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