Gina chuez has considered starting her own custom greeting card business. with an initial start up cost of $1500, she figures it will cost $0.45 to produce each card. in order to remain competitive with the larger greeting card companies, gina must sell her cards for no more than $1.70 each. to make a profit, her income must exceed her costs. how many cards must she sell before making a profit? a. at least 1187 cardsc. at least 1200 cardsb. at least 1230 cardsd. at least 1425 cards

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?