Bea wants to buy towels online. There are two stores with the kind of towel she wants. The first store charges $19 per towel, and the delivery charge is $30. The following equation gives the total price (in dollars) of an order from the second store (including delivery) as a function of the number of towels: P = 40 + 16n a) Which store charges more per towel? b) Bea needs 5 towels. Which store is cheaper for her?

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?