Which equation shows function g in factored form? g(x) = 2x^2 – 6x – 56

O A. g(x) = 2(x-4)(x + 7)

OB. g(x) = 2(x^2-3x-28)

OC. g(x) = (2x + 7)(x-8)

OD. g(x) = 2(x + 4)(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?