Cast a die a number of independent times until a six appears on the up side of the die. (a) find the pmf p(x) of x, the number of casts needed to obtain that first six. (b) show that =1 p(x) = 1. (c) determine p(x = 1,3,5, (d) find the cdf f(x) = p(x ≤ x).

Consider the following estimates from the early 2010s of shares of income to each group. country poorest 40% next 30% richest 30% bolivia 10 25 65 chile 10 20 70 uruguay 20 30 50 1.) using the 4-point curved line drawing tool, plot the lorenz curve for bolivia. properly label your curve. 2.) using the 4-point curved line drawing tool, plot the lorenz curve for uruguay. properly label your curve.

Select all of the following expressions that are equal to 2.5.

Select the correct answer. employee earnings per month($) 1 1,200 2 2,600 3 1,800 4 1,450 5 3,500 6 2,800 7 12,500 8 3,200 which measure of spread is best for the data in the table? a. range b. quartiles c. interquartile range d. mean absolute deviation