Based on the information below, choose the correct answers.
note: the monthly loan payment was calculated at 119 payments of $330.38 plus a final payment of $329.73.
loan balance: $25,000.00
loan interest rate: 10.0%
monthly loan payment: $330.38
number of payments: 120
cumulative payments: $39,644.95
total interest paid: $14,644.95
on average, what dollar amount of each monthly payment is interest? $
what percent of the total payments is total interest? %

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?