Brenda's school is selling tickets to a spring is selling tickets to a spring musical. On the first day of ticket sales the school sold 4 senior citizen tickets and 3 child tickets for a total of $26. The school took $20 on the second day by selling 2 senior citizen tickets and 5 child tickets. What is the price of one senior citizen ticket and one child ticket? let x = kids price let y = senior price

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?