A ternary string is a string made up of 0's, 1's. and 2's. A) How many ternary strings of length 4 are there?=

B) How many ternary strings of length 4 start with a 1?
Number of 4 digit ternary strings starting with 1 =

C)How many ternary strings of length 4 start with a 1 *and* end with a 1?
Number of 4 digit ternary strings starting and ending with 1=

D) How many ternary strings of length 4 start with a 1 *or* end with a 1?
Number of 4 digit ternary strings starting or ending with with 1 =

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?