Triangle a has a height of 2.5 cm and a base of 1.6 cm. the height and base of triangle b are proportional to the height and base of triangle a. which of the following could be the height and base of triangle b? choose 3 answers: a. height: 2.75 base: 1.76b. height: 9.25 base: 9.16c. height: 3.2    base: 5d. height: 1.25 base: 0.8e. height: 2      base: 1.28

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?