3x + y = 4
2x + y = 4

(points : 4)
a. (1, 7)

b. (0, 4)

c. (3, 12)

d. (3, 13)

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

If rt is greater than ba, which statement must be true ?

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?