A cell phone manufacturer samples cell phones from the assembly to test. She noticed that the number of faulty cell phones in a production run is usually small and that the quality of one day’s run seems to have no bearing on the next day. a) What model might you use to model the number of faulty cell phones produced in one day?

(write a name of this probability model)

An analysts estimates the mean number of defective cell phones to be 2 per day.

b) What is the probability of having a day with no faulty cell phone in a production run?
(write to 3 decimal places)

c) What is the probability of having a day with more then 3 faulty cell phones in a production run?

probability:

X+ y = 5 ; x - y =3 solve using linear combination

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?

What line represents the relationship between r and s