5. A 10-foot tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30° angle. How long is the rope, and what is the distance from the base of the pole to the spot where the rope is fixed to the ground?
A. length of rope - 17.30
distance - 11.5
B. length of rope - 20.0 Ft
distance - 17.3
C. length of rope 20.0 ft
distance 11.5 ft
D. length of rope - 17.3ft
distance - 20.01

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?