A small business owner is determining her profit for one month. Her expenses were $230.21 for utilities, $2,679.82 for rent, and $3,975.00 for employee salaries. She had $11,449.27 in sales for the month. What is her profit? A. $4,550.00
B. $4,564.24
C. $4,794.45
D. $5,024.66

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?