Below are the supply and demand equations for umbrellas in a certain market. In these equations, p represents price, D represents demand, and S represents supply. D = StartFraction negative 4 over 3 EndFraction p 22 S = 3 p minus 36 What is p at the point of equilibrium, to the nearest tenth? a. 19. 3 b. 16. 5 c. 13. 4 d. 12. 0 Please select the best answer from the choices provided A B C D.

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?