VJoe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking. What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A = {KL}
A = {KJ, KL}
A = {KL, LK}
A = {KJ, KL, LJ}

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

The graph and table shows the relationship between y, the number of words jean has typed for her essay and x, the number of minutes she has been typing on the computer. according to the line of best fit, about how many words will jean have typed when she completes 60 minutes of typing? 2,500 2,750 3,000 3,250

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.