Match each equation to a point which lies on the circle. (4,5) (3,V) (2,8) (-3,3) (-2,-4) (17,3) x2 + (y – 6)2 = 16 (1 + 6)2 + (x + 1) = 25 (1 2)2 + y2 = 9 (x + 1)2 + (y – 4) = 25

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?