PL Expand the expression below by distributive property.
1. 4(x+2y+ (-3))
2. -3(2x-4y)
3. 2-(2x+y)
4. 2(3x+3y+ (-2))
5. -4(3x-2y)
6. 5-(3x-y)

PART 2:

2. What are the values of q and r in each set of equivalent expressions?
A. q(6x+4)=3x+r
B. q(½ x+⅓ )=3x+r
C. q(3x+4)=r-8

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?