Charlie graphs the equation y= – 1 2 x+2 y= –12x+2 . select all statements about charlie's graph that are true. the graph is a straight line. the line does not pass through the origin. the line passes through the point (0, –2) (0, –2) . the slope of the line is 1 2 12 . the y-intercept of the line is 2.

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?