Workers mixed 7 gallons of blue paint, 4 gallons of yellow paint, and 1 gallon of white paint to make a special shade of paint . They will use a total of 108 gallons of this mixture to paint the offices in a building .Based on this information, complete the following statements. They will use times as much yellow paint as white paint.

They will use a total of gallons of blue and yellow paint.

They will use more gallons of blue paint than of white paint.

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?