Greenville Middle School decided to take their 6th grade students on a field trip to the Science Museum in Raleigh. The Museum have a capacity
of 2500 people and Greenville Middle School has a total of 850 students.
The ratio of girls to boys in the 6th grade is 3:4. If there are 60 girls in the
6th grade, how many students at Greenville middle school are 6th
graders?

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?