D/Find E(X) and Var(x) of X, where X is the discrete random variable whose probability table is given in the table below. AA Doutcome A probability 1 3 7 0.1 0.6 0.3 AAAAAAAAAAAAAAAA

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The probability of an impossible event is 1.

An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten times. (a) What is the probability of getting exactly 6 heads? (b) What is the probability of getting fewer than 3 heads?

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?

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 yellow.

Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004. The packaging department has eight workers. What is the probability that two or more ackaging workers Will call in sick next Monday ?

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 red.

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Find the probability that all engines will survive the test.