Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for maximum taxable earnings. a. Social Security tax: $1,459.67, Medicare tax: $341.37 b. Social Security tax: $14,596.66, Medicare tax: $3,413.70 c. Social Security tax: $662.16, Medicare tax: $341.37 d. Social Security tax: $6,621.60, Medicare tax: $3,413.70

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?