Sue wants to increase 160 by 4% She writes down

160 x 1.4 = 224

Sue's method is wrong.

a) Instead of multiplying by 1.4, write down

what she should have multiplied by

Bill wants to decrease 160 by 6%

b) Complete the statement below to show how Bill can decrease 160 by 6%

160 × ___ =___

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?