Is the relationship shown by the data linear? If so, model the data with an equation. x y
–7 5
–5 9
–3 13
–1 17

The relationship is not linear.

The relationship is linear; y – 5 = 2(x + 7).

The relationship is linear; y + 7 = (x – 5).

The relationship is linear; y – 5 = (x + 7).

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?