Two customers went to a hardware store to buy pepper plants and tomato plants. Each pepper plant costs the same amo unt, and each tomato plant costs the same amount. The first customer paid $66.30 for 12 pepper plants and 6 tomato plants. The second customer paid $81.60 for 9 pepper plants and 12 tomato plants. What was the cost in dollars for each pepper plant? A $3.89 B $3.40 C $5.53 D $4.25

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?