Madeline takes her family on a boat ride. Going through York Canal, she drives 6 miles in 10 minutes.
Later on as she crosses Stover Lake, she drives 30 minutes at the same average speed.

Which statement about the distances is true?

A. The distance traveled in York Canal is three times the distance traveled on Stover Lake.

B. The distance traveled in York Canal is one-third the distance traveled on Stover Lake.

C. The distance traveled in York Canal is 20 miles less than the distance traveled on Stover Lake.

D. The distances traveled in York Canal and Stover Lake are the same.

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?