Which of the following situations does not represent a proportional relationship? *

a. Emilia earns $8.75 an hour and 10% commission on any new memberships she sells.
b. Tatum is flying a remote-controlled airplane at a speed of 18 miles per hour.
c. Phoebe is at a baseball game where they sell all drinks for $1.75 each.
d. All of the above are proportional.

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?