Productivity has been a concern for Jiang's moving company. When a moving job is too large, a one or two-person moving crew takes too long, and customers have been posting bad reviews. His moving crews can work at the following
rates:
• Kevin can move a three-bedroom apartment in 5 hours.
• Quinton and Trey working together can do the same job in 2 hours.
Find the number of hours it would take for Kevin, Quinton, and Trey together to move a three-bedroom apartment.
Type the correct answer in the box. Use numerals instead of words.
It would take the three movers il minutes to move a three-bedroom apartment.

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?