Question

4.14 Defective rate. A machine 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

Answer 1

Answer:

Step-by-step explanation:

Given that transitor has a 2% defective rate, need to calculate the probability that the 10th transistor produced is the first with a defect.

The probability function is p(x=k) = (1-p)^(n-1) * p

p = (1-defective rate)^(n-1) * defective rate; n=10

p = (1-0.02)^9 * 0.02 = 0.98^9 * 0.02 = 0.01666