2. consider the inequality -3c+8< -1.
choose true or false for each statement.
a. the graph of the inequality has a closed
circle at 3.
b. the graph of the inequality is shaded to
the right of an endpoint.
c. the number 0 is included in the shaded
region of the graph of the inequality.
o true
o false
o false
o false
o true

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?