This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} which table represents the inverse of the function defined by the ordered pairs? a. x 7 8 9 10 y -49 -56 -63 -70 b. y -70 -63 -56 -49 x -10 -9 -8 -7 c. y 49 56 63 70 x -7 -8 -9 -10 d. x 7 8 9 10 y 49 56 63 70

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?