Tai has a bag of different colored balloons. Without looking in the bag, she selects a balloon, records its color,
and puts it back in the bag. All balloons are equally likely to
be chosen. She performs 50 trials.
Number of times a red balloon was chosen
15
Number of times a yellow balloon was chosen 18
Number of times a green balloon was chosen
9
Number of times a pink balloon was chosen
8
Based on the data Tai collected, what is the estimated probability, in simplest
form, of choosing a yellow balloon from the bag?
O A.
50
o
O О
D.
100

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?