An aquarium contains dolphins, sharks, and whales. There are twice as many dolphins as whales
and 8 fewer sharks than dolphins and whales com-
bined. If there are w whales, which of the following
represents the number of sharks?
A. 5w
B. 3w - 8
C. 10 +
D. 3w2–8w
E 3V2w - 8

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?