Find the area of a parallelogram bounded by the x-axis, the line g(x)=2,the line f(x)=3x, and the line parallel to f(x) passing through (3,-6) It might be helpful to remember that the distance between two points =sqrt(x_2-x_1)^2+(y_2-y_1)^2} and the area of a parallelogram is A=bh A=_ (6,1).

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?