Each function below describes how something changes. Use the description to determine which function(s) describe exponential growth or decay. A. The power of a turbine is proportional to the cube of wind speed.
B. The population decreases by 12 % each year.
C. The volume of a sphere triples every minute.
D. The pollution increases at a rate of 11 grams per day.
E. The thickness of ice increases by fifty millimeters each day.

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?