Natalie recorded the amount of snow that fell during a snowstorm. Each of these ordered pairs represents a number of hours since the start of the storm and the total amount of snow, in inches, that had fallen by that time. (1, 2), (3, 5), (6, 14), (10, 20)

Graph the points on the coordinate plane.

Total Snowfall
Time (h)Amount of snow (in.)

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?