1. if length of one side of cube is 20 cm, then volume of cube must be:

a. 4000 cm^3
b. 8000 cm^3
c. 800 cm^3
d. 6000 cm^3

2. the volume of a cube is 64 cm^3 . what is the length of one side?

a. 6 cm
b. 8 cm
c. none of these.
d. 2 cm

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?