Let fxig be iid random variables on a probability space ( ; f; p) with common distribution function f. suppose that f(x0) = 1 and f(x) < 1 for all x < x0. letmn = maxfx1; : : : ; xng i. e. = ; : : : ; . show that (a) mn ! x0 in probability (b) does mn ! x0 almost surely? if so prove it, if not provide a coun- terexample.

Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each division expression with the correct quotient.

Even if a person is in very good shape, applying to be a police officer requires commitment to fitness. applicants must pass a physical fitness test. in order to prepare for the test, janet purchases an activity tracker to court her steps. her goal is to walk 10,000 steps each day. she measures heard average step length to be 30 inches. play janet runs, her average steps length increases to 36 in. how many steps would she have to take to run 1 mile 50280 round to the nearest step

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? \ 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x