Which of the following modifications to the list of assets and liabilities below would result in an increase in net worth? cash of $300. car valued at $28,000. car loan of $22,000. motorcycle valued at $6,000. savings of $2,000. credit card balances of $4,000. student loan of $10,000. a. putting $100 in savings b. paying $100 on credit cards c. getting paid $100 d. all of the above

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?