6. On Saturdays, Jim likes to go to the mall to play video games or pinball. Round-trip bus fare to and from the mall is $1.80. Jim spends $0.50 for each video or pinball game. a. Write an equation for the amount of money, M, it costs Jim to go to the mall and play n video or pinball games. Explain your reasoning.
b. What is the slope of the line your equation represents? What does the slope tell you about this situation?
c. What is the y-intercept of the line? What does the y-intercept tell you about the situation?
d. How much will it cost Jim to travel to the mall and play 8 video or pinball games?
e. If Jim has $6.75, how many video or pinball games can he play at the mall? ​

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?