The probability density function of the time to failure of an electronic component in a copier (in hours) is f left-parenthesis x right-parenthesis equals StartFraction e Superscript negative x divided by 1054 Baseline Over 1054EndFraction for x greater-than 0. Determine the probability that a) A component lasts more than 3000 hours before failure. (Round the answer to 3 decimal places.)

Which of the following represents the range of the graph of f(x) below

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

36x2 + 49y2 = 1,764 the foci are located at: a) (-√13, 0) and (√13,0) b) (0, -√13) and (0,√13) c) (-1, 0) and (1, 0)