Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. Which system of linear equations represents the situation? 5x + 10y = 100 and 5 x plus 10 y equals 100 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 1,750.x + StartFraction one-half EndFractiony = 1,750
5x + 10y = 1,750 and 5 x plus 10 y equals 1,750 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.x + y = 100
x + y = 100 and x plus y equals 100 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 1,750.x + y = 1,750
x + y = 1,750 and x plus y equals 1,750 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.x + y = 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?