While doing research on a lake, biologists tagged 200 walleye. Later, they captured 160 walleye, of which 16 had tags. What is the BEST estimate for the walleye population?

At the school fair, grade 3 raises 84 more then grade 4. grade 4 raises 112 more then grade 2. grade 3 raises 360. how many dollars does grade.2 have

Find two consexutive odd integers such that the sum of their square is 650

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?