Machine Malfunctions y f(x,y) 135 x 1 2 3 0.05 0.10 0.15 0.05 0.05 0.35 0.00 0.20 0.05 Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given in the accompanying table. Determine the covariance between X and Y. Click the icon to view the joint probability distribution of X and Y. OXY (Type an integer or a decimal. Do not round.)

Find the probability of each event. Rolling a sum of 11 on one roll of three dice

If the spinner shown below is spun, find the probability of each event. Assume that the spinner never stops on a line. The spinner stops on green.

What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.

You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?