You've always wanted to ride the Ferris wheel! You buy your ticket, get an, and up you go. Then stop. Then go. Then stop. You wonder what is happening, but then you
realize that they are letting people on and off. Here is what happens on your ride
You travel 1/4 of the way around, and then stop
The ride starts again, only to stop after going another 0.45 turn.
The ride starts again, but you go backward 1/2 turn
The ride starts again, and this time you make it 1.5 of the way around

When the ride finally starts again, it continues to go around for 1 3/10
turn.
You exit the ride confused. How many times did you go around the wheel ?

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?