The revenue a company generates from selling x units of a product is given by the expression 100x-0.0005x2. The cost for the company to produce x units of the product is given by the expression 5x 112,500. Profit is revenue minus cost. What is the smallest number of units that the company can sell to make a profit of $4.2 millon? O 60,000
O 75.000
O 115,000
O 140 000

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?