1. Apple manufactures iPads and iPhones. Their daily production of iPads cannot exceed 11, and production of iPhones must be less than or equal to 13. The combined number of iPads and iPhones cannot
be more than 15.
a. If x is the number of iPads and y is the number of iPhones, graph on the accompanying set of axes the
region that contains the number of iPads and iPhones that Apple can manufacture daily.
b) Based off of your graph in Part I can Apple manufacture 7 iPads and 10 iPhones in the same day? Why
or why not?

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?