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The Bonferroni curve is defined as L(t)/t, for 0<t<1 and ONE minus the integral of the curve is the Bonferroni index (B) of inequality. For a distribution with finite mean and variance of your choice, compute B(u) and the index B. Graph two or three Lorenz curves and their corresponding Bonferroni curves. Then use the integrate function in R to compute the Gini and Bonferroni indices.
Media Matrix and Jupiter Communications gathered data on the time adults and the time teens spend online during a month (USA Today, September 14, 2000).
an article claims that movie attendance in the u.s. has declined significantly since 2008 but that there is still a
it is known that 30 of all customers of a major credit card pay their bills in full before any interest charges are
Assume that the event of Harold making it on time is independent of the event of Maude making it on time. What is the probability that only Harold will make it to the cruise?
What is the correlation, and why is it so high? Since all of the guessed weights were higher than the actual weights, does that influence the correlation at all?
the number of carbohydrates in grams per 8-ounce serving of yogurt for each of a random selection of brands is listed
Assuming that among the 1048 respondents, there were an equal number of men and women, construct a 95% confidence interval for the difference in these proportions.
Prove that X and Y are both (standard) normal, but that the random variables are not jointly normal.
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC
Prove, without applying Theorem 1.5.1, that the well-ordering principle implies AC. Caution: Is it clear that the possibly very large family of sets A(x ) can all be well-ordered simultaneously, so that there is a function f on I such that for eac..
Let T ~ gamma (20, 0.0002) be the total operating time for the units described in Exercise. Use the m-function for the gamma distribution to determine.
Democrat and Republican, if two voters are randomly selected for a telephone survey, what is the probability that they are both Republicans?
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