Jasmine has a gross pay of $754.80. by how much will jasmine’s gross pay be reduced if she has the following items withheld? federal tax of $31 social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 18% of her federal tax a. $94.32 b. $192.83 c. $224.60 d. $323.11

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?