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A group of students plotted the number of hours they spent cycling and the number of hours they spent playing football in a week.

Which statement best describes the relationship between the number of hours spent cycling and the number of hours spent playing football?

Fewer hours cycled, fewer hours spent playing football
Greater hours cycled, greater hours spent playing football
Fewer hours cycled, greater hours spent playing football
There is no relationship between hours spent cycling and hours spent playing football.

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?