Jennifer's teacher has marked this problem as one to recheck, but jennifer cannot determine what she has done incorrectly. identify jennifer's error and write a correct solution. eight less than 2 times a number is 40. what is the number? 2x – 8 = 40 (line 1) 2x – 8 – 8 = 40 – 8 (line 2) 2x = 32 (line 3) 2x ÷ 2 = 32 ÷ 2 (line 4) x = 16 (line 5)

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?