Sixsix times the difference of a number and 44 is the same as 44 increased by sixsix times the number plus four timesfour times the number. find the number. let xequals=the number. translate the sentence into an equation. fill in the blanks below. sixsix timestimes the difference of a number and 44 is the same as 44 increased by sixsix times the number plus four timesfour times the numbernumber down arrow↓ down arrow↓ down arrow↓ down arrow↓ down arrow↓ down arrow↓ down arrow↓ down arrow↓ 66 left parenthesis x minus 4 right parenthesis(x−4) equals= 44 minus− minus− plus+ nothing ▼ plus+ minus− nothing

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?