5. A researcher orders a broth of 8.8% glucose for her lab. However, she needs a stronger broth, one that is 13.8% glucose. Fortunately, she has 69.7 liters of 39.4% glucose broth in the stock room. How much 13.8% glucose broth can she make? Round your answer to the nearest tenth of a liter. SHOW YOURK WORK

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?