Physics

Physics, 15.07.2019 23:50, batoolishak7475

If the coefficient of skewness is equal to zero, the shape of the distribution is

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Mathematics, 27.08.2019 18:30, mixcolin0002

Distributions may in general be skewed, but there may be conditions on their parameters that make the skewness get smaller or even disappear. this problem uses moment-generating functions (mgfs) to explore that idea for two important discrete distributions, the binomial and the poisson. (a) we saw in class that if x ~ binomial (n, p), for 0 < p < 1 and integer n greaterthanorequalto 1, then the mgf of x is given by phi x (t) = [pe^t + (1 - p)]^n. for all real t, and we used this to work out the first three moments of x (note that the expression for e (x^3) is only correct for n greaterthanorequalto 3): e(x) = np. e (x^2) = np[(1 + (n - 1)p], e (x^3) = np[1 + (n - 2)(n - 1)p^2 + 3 (n - 1)p], from which we also found that v(x) = np(1 - p). show that the above facts imply that skewness (x) = 1-2 p/squareroot n p(1 - p). under what condition on p, if any, does the skewness vanish? under what condition on n, if any, does the skewness tend to 0? explain briefly. (b) in our brief discussion of stochastic processes we encountered the poisson distribution: if y ~ poisson (lambda). for lambda > 0. then the pf of y is fy(y) = {lambda^y e^- lambda/y! for y = 0, 1, 0 otherwise}. (i) use this to show that for all real t the mgf of y is psi_y (t) = e^lambda (e^t - 1). (ii) use psi_y(t) to compute the first three moments of y. the variance of y and the skewness of y. under what condition on a, if any, does the skewness either disappear or tend to 0? explain briefly.

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Mathematics, 12.09.2019 00:10, doris8051

Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at furniture patch inc. $4.2 $6.3 $7.5 $11.2 $13.0 $13.6 $15.2 $15.8 $16.7 $17.4 $18.6 $22.3 $37.6 $43.2 $83.6a. determine the mean, median, and the standard deviation. (round your answers to 2 decimal places.) mean $ median $ standard deviation $b. determine the coefficient of skewness using pearson's method. (round your answer to 3 decimal places.) coefficient of skewnessc. determine the coefficient of skewness using the software method. (round your answer to 2 decimal places.)

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Mathematics, 29.09.2019 19:20, aamavizca

Merits and demerits of coefficient of coefficient skewness

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Business, 22.10.2019 19:50, amaya171

Suppose the united states has a gini coefficient of 0.4 and sweden has a gini coefficient of 0.25. which of the following statements is true? a. the distribution of income is more equal in the sweden. b. income distribution is changing faster in the united states. c. without information on population, it is not possible to compare income distribution between countries. d. the distribution of income is more equal in the united states.

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