Leo spent the same amount of time working on each of 5 different weight machines and then spent Two-thirds of an hour on the treadmill. If he spent a total of 1 and three-fourths hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines?
A) 5 x + 2/3 = 1 3/4; Leo spent 13 minutes at each machine.

B) 5 x + 2/3 = 1 3/4; Leo spent 29 minutes at each machine.

C) 2/3 x + 1 3/4 = 5; Leo spent 5 minutes at each machine.

D) 2/3 x + 1 3/4 = 5; Leo spent 10 minutes at each machine.

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?