Which of the following describes the function shown in the table below? х
y
16
-4
-1
2
2
0.25
4
0.0625
0.03125
5
O exponential, there is a constant rate of growth
exponential, there is a constant rate of decay or decrease
O quadratic, there is a second degree change in the y-values
O quadratic, there is a constant difference between consecutive y-values

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?