A bag contains 4 red marbles, 5 black marbles, 10 green marbles, and 2 blue marbles. Marbles are taken at random from the bag, one at a time, and then replaced. Find the probability of drawing a marble that is NOT red, then drawing a green marble.

School has 204 sixth grade students. if the sixth grade is 30% of the total school, how many students are in the middle school?

What is the measure of angle x? answer

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?